Let's solve the expression step by step.
The expression given is:
\[ 7.24 \times 1.3 + 11.6 \times 3 - 36.16 \div 14 \]
Calculate \( 7.24 \times 1.3 \): \[ 7.24 \times 1.3 = 9.412 \]
Calculate \( 11.6 \times 3 \): \[ 11.6 \times 3 = 34.8 \]
Calculate \( 36.16 \div 14 \): \[ 36.16 \div 14 = 2.586 \]
Now we can substitute these results back into the expression:
\[ 9.412 + 34.8 - 2.586 \]
First, add \( 9.412 + 34.8 \): \[ 9.412 + 34.8 = 44.212 \]
Now subtract \( 2.586 \): \[ 44.212 - 2.586 = 41.626 \]
Thus, the final result is:
\[ 41.626 \]