Finding the Fourth Proportional to 12,766.73, 17,605.98 and 7,661.47

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.73 : 17,605.98 = 7,661.47 : x
2. Step 2: Convert to fraction form
   12,766.73/17,605.98 = 7,661.47/x
3. Step 3: Cross multiply
   12,766.73x = 17,605.98 × 7,661.47
4. Step 4: Simplify right side
   12,766.73x = 134,887,713.88
5. Step 5: Solve for x
   x = 134,887,713.88/12,766.73
6. Step 6: Final answer
   x = 10,565.56