Finding the Fourth Proportional to 9,606.52, 13,257.64 and 5,414.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.52 : 13,257.64 = 5,414.76 : x
2. Step 2: Convert to fraction form
   9,606.52/13,257.64 = 5,414.76/x
3. Step 3: Cross multiply
   9,606.52x = 13,257.64 × 5,414.76
4. Step 4: Simplify right side
   9,606.52x = 71,786,938.77
5. Step 5: Solve for x
   x = 71,786,938.77/9,606.52
6. Step 6: Final answer
   x = 7,472.73