Finding the Fourth Proportional to 17,677.67, 24,395.79 and 9,720.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677.67 : 24,395.79 = 9,720.50 : x
2. Step 2: Convert to fraction form
   17,677.67/24,395.79 = 9,720.50/x
3. Step 3: Cross multiply
   17,677.67x = 24,395.79 × 9,720.50
4. Step 4: Simplify right side
   17,677.67x = 237,139,154.72
5. Step 5: Solve for x
   x = 237,139,154.72/17,677.67
6. Step 6: Final answer
   x = 13,414.62