Finding the Fourth Proportional to 9,175.52, 12,655.76 and 5,640.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,175.52 : 12,655.76 = 5,640.68 : x
2. Step 2: Convert to fraction form
   9,175.52/12,655.76 = 5,640.68/x
3. Step 3: Cross multiply
   9,175.52x = 12,655.76 × 5,640.68
4. Step 4: Simplify right side
   9,175.52x = 71,387,092.32
5. Step 5: Solve for x
   x = 71,387,092.32/9,175.52
6. Step 6: Final answer
   x = 7,780.17