Finding the Fourth Proportional to 9,606.57, 13,257.15 and 5,414.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.57 : 13,257.15 = 5,414.82 : x
2. Step 2: Convert to fraction form
   9,606.57/13,257.15 = 5,414.82/x
3. Step 3: Cross multiply
   9,606.57x = 13,257.15 × 5,414.82
4. Step 4: Simplify right side
   9,606.57x = 71,785,080.96
5. Step 5: Solve for x
   x = 71,785,080.96/9,606.57
6. Step 6: Final answer
   x = 7,472.50