Verified Answer :

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!