Finding the Fourth Proportional to 11,661.57, 16,100.27 and 7,689.43

Step by Step Solution

1. Step 1: Write the proportion equation
   11,661.57 : 16,100.27 = 7,689.43 : x
2. Step 2: Convert to fraction form
   11,661.57/16,100.27 = 7,689.43/x
3. Step 3: Cross multiply
   11,661.57x = 16,100.27 × 7,689.43
4. Step 4: Simplify right side
   11,661.57x = 123,801,909.66
5. Step 5: Solve for x
   x = 123,801,909.66/11,661.57
6. Step 6: Final answer
   x = 10,616.23