Finding the Fourth Proportional to 12,755.50, 17,604.24 and 7,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,755.50 : 17,604.24 = 7,166.50 : x
2. Step 2: Convert to fraction form
   12,755.50/17,604.24 = 7,166.50/x
3. Step 3: Cross multiply
   12,755.50x = 17,604.24 × 7,166.50
4. Step 4: Simplify right side
   12,755.50x = 126,160,785.96
5. Step 5: Solve for x
   x = 126,160,785.96/12,755.50
6. Step 6: Final answer
   x = 9,890.70