Finding the Fourth Proportional to 17,677.50, 24,395.52 and 9,720.30

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677.50 : 24,395.52 = 9,720.30 : x
2. Step 2: Convert to fraction form
   17,677.50/24,395.52 = 9,720.30/x
3. Step 3: Cross multiply
   17,677.50x = 24,395.52 × 9,720.30
4. Step 4: Simplify right side
   17,677.50x = 237,131,773.06
5. Step 5: Solve for x
   x = 237,131,773.06/17,677.50
6. Step 6: Final answer
   x = 13,414.33