Finding the Fourth Proportional to 12,766.50, 17,617.77 and 10,520.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.50 : 17,617.77 = 10,520.10 : x
2. Step 2: Convert to fraction form
   12,766.50/17,617.77 = 10,520.10/x
3. Step 3: Cross multiply
   12,766.50x = 17,617.77 × 10,520.10
4. Step 4: Simplify right side
   12,766.50x = 185,340,702.18
5. Step 5: Solve for x
   x = 185,340,702.18/12,766.50
6. Step 6: Final answer
   x = 14,517.74