1000 watts/12 V = 84 amps
84 amps X 0.25 hours = 21 amp-hours
21 amp-hours/0.8 inverter efficiency = 27 amp-hours
As you can see it's not a huge total amount of energy. BUT it is a huge current drain in a short period of time. You need a huge battery bank and super-heavy wiring to pull 84 amps in 15 minutes.
Listen to those with experience in such matters.
I would find some other way to heat the item in question. Try the range top or oven. People have cooked without microwaves for thousands of years, you can manage it too.