Finding the Fourth Proportional to 9,658.56, 13,327.98 and 5,624.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.56 : 13,327.98 = 5,624.76 : x
2. Step 2: Convert to fraction form
   9,658.56/13,327.98 = 5,624.76/x
3. Step 3: Cross multiply
   9,658.56x = 13,327.98 × 5,624.76
4. Step 4: Simplify right side
   9,658.56x = 74,966,688.78
5. Step 5: Solve for x
   x = 74,966,688.78/9,658.56
6. Step 6: Final answer
   x = 7,761.68