Finding the Fourth Proportional to 9,152.52, 12,624 and 5,617.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152.52 : 12,624 = 5,617.68 : x
2. Step 2: Convert to fraction form
   9,152.52/12,624 = 5,617.68/x
3. Step 3: Cross multiply
   9,152.52x = 12,624 × 5,617.68
4. Step 4: Simplify right side
   9,152.52x = 70,917,592.32
5. Step 5: Solve for x
   x = 70,917,592.32/9,152.52
6. Step 6: Final answer
   x = 7,748.42