Finding the Fourth Proportional to 17,617.50, 24,314.31 and 10,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,617.50 : 24,314.31 = 10,165.50 : x
2. Step 2: Convert to fraction form
   17,617.50/24,314.31 = 10,165.50/x
3. Step 3: Cross multiply
   17,617.50x = 24,314.31 × 10,165.50
4. Step 4: Simplify right side
   17,617.50x = 247,167,118.31
5. Step 5: Solve for x
   x = 247,167,118.31/17,617.50
6. Step 6: Final answer
   x = 14,029.64