Finding the Fourth Proportional to 12,599.46, 17,387.80 and 7,564.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,599.46 : 17,387.80 = 7,564.10 : x
2. Step 2: Convert to fraction form
   12,599.46/17,387.80 = 7,564.10/x
3. Step 3: Cross multiply
   12,599.46x = 17,387.80 × 7,564.10
4. Step 4: Simplify right side
   12,599.46x = 131,522,952.13
5. Step 5: Solve for x
   x = 131,522,952.13/12,599.46
6. Step 6: Final answer
   x = 10,438.78