First, you need to write the balanced equation (for the combustion of methane).
CH4 + 2 O2 → CO2 + 2 H2O
Next, you would need a table of enthalpies of formation and insert them into the following equation:
Δ Hrxn = ∑ Hproducts - ∑ Hreactants
Fill in the data (multiplying by the number of moles of each substance) and solve.