Based on the balanced chemical equation, 1 mol of C6H12 transfers -3919.4 kJ of heat (we know this because the coefficient of C6H12 in the balanced chemical equation is 1, which indicates 1 mole of C6H12).
We can then set up the following equation to determine the moles of C6H12 that must be reacted to transfer -419.1 kJ of heat:
(-3919.4 kJ)/(1 mol C6H12) = (-419.1 kJ)/(x moles C6H12)
-3919.4x = -419.1
x = 0.1069 moles of C6H12 must be reacted