Molar mass :
CO₂ = 44.0 g/mol
CH₄ = 16.0 g/mol
The balanced equation is wrong ,this is the correct :
CH₄ + 3 O₂ = CO₂ + 2 H₂O₂
16.0 g -------------> 44 g
184.5 g -----------> mass of methane
mass of methane = 184.5 x 44 / 16.0
mass of methane = 8118 / 16.0
mass of methane = 507.375
moles of Carbon dioxide ( CO₂)
507.375 / 44.0 => 11.531 moles of CO₂
hope this helps!