Finding the Fourth Proportional to 12,766.98, 17,617.10 and 7,461.12

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.98 : 17,617.10 = 7,461.12 : x
2. Step 2: Convert to fraction form
   12,766.98/17,617.10 = 7,461.12/x
3. Step 3: Cross multiply
   12,766.98x = 17,617.10 × 7,461.12
4. Step 4: Simplify right side
   12,766.98x = 131,443,297.15
5. Step 5: Solve for x
   x = 131,443,297.15/12,766.98
6. Step 6: Final answer
   x = 10,295.57