If you were wanting to make a case for fossil fuels based on economic reasons then coal is a millstone which will drag the argument down. Much better would be to focus on just natural gas.
Of all the sources of power, natural gas is the cheapest, coal is the third most expensive being exceeded on cost by only photovoltaic and solar thermal energy.
Costs do vary from country to country depending on what resources are available, the figures below relate only to the US as a whole, there are significant regional variations even within the US.
A power station generating electricity using the advanced combined cycle with natural gas produces the cheapest electricity of all, at a cost of $66 per megawatt hour. The next most cost efficient method is again natural gas but this time the conventional combined cycle, this costs $69MWh.
There’s multiple energy sources that fall in the $90 to $110 per MWh bracket, in cost order (lowest first) they are hydro, onshore wind, geothermal, advanced natural gas with carbon capture, estuarine tidal, low grade coal (e.g. lignite) without CCS, advanced gas turbine, conventional coal (bituminous), solar focus and nuclear.
At the upper end of the cost scale, again in price order with lowest first are biomass, conventional gas turbine, solar farms, offshore wind, open sea tidal, oil, coal with CCS, wave, photovoltaic, solar thermal.
Even within the US there are noticeable regional differences. In California for example the most cost effective power sources are biomass, hydro, wind and geothermal – all cost less than the $66/MWh for natural gas across the US as a whole.
On a global scale the prices are roughly in line with those of the US. Generally natural gas is the most cost effective, then the common types of renewable (wind, hydro etc), then nuclear, the less common renewables, coal, and most expensive are the solar sources.
Oil is the commodity that varies the most in cost efficiency, in the Middle East it’s the cheapest form of power generation but in many parts of the world it’s one of the most expensive.
Above all it’s availability that determines cost. In some parts of the world, Iceland being one example, geothermal energy is abundant and extremely cheap but in other places this wouldn’t be an option.
One possible future source of very cheap energy would be nuclear fusion, this has the advantage over nuclear fission of being controllable and no radiation. Containment is the stumbling block at present, once this is overcome then there’s the potential for abundant cheap energy for everyone. If and when this happens will remain to be seen.
For now, natural gas is the cheapest option. It’s relatively abundant and we have the infrastructure in place for processing and utilising it. It is becoming more expensive as extraction costs escalate, a consequence of having to extract from ever harder locations.
I would imagine that in a few years time as gas prices continue to rise and economies of scale bring down the price of renewables, we’ll see hydro, wind and geothermal being the most economical power sources.