Finding the Fourth Proportional to 9,502.56, 14,195.88 and 9,156.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502.56 : 14,195.88 = 9,156.96 : x
2. Step 2: Convert to fraction form
   9,502.56/14,195.88 = 9,156.96/x
3. Step 3: Cross multiply
   9,502.56x = 14,195.88 × 9,156.96
4. Step 4: Simplify right side
   9,502.56x = 129,991,105.32
5. Step 5: Solve for x
   x = 129,991,105.32/9,502.56
6. Step 6: Final answer
   x = 13,679.59