Finding the Fourth Proportional to 12,966.30, 17,892.77 and 7,661.61

Step by Step Solution

1. Step 1: Write the proportion equation
   12,966.30 : 17,892.77 = 7,661.61 : x
2. Step 2: Convert to fraction form
   12,966.30/17,892.77 = 7,661.61/x
3. Step 3: Cross multiply
   12,966.30x = 17,892.77 × 7,661.61
4. Step 4: Simplify right side
   12,966.30x = 137,087,387.25
5. Step 5: Solve for x
   x = 137,087,387.25/12,966.30
6. Step 6: Final answer
   x = 10,572.59