Finding the Fourth Proportional to 11,078.72, 16,537 and 9,766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   11,078.72 : 16,537 = 9,766.52 : x
2. Step 2: Convert to fraction form
   11,078.72/16,537 = 9,766.52/x
3. Step 3: Cross multiply
   11,078.72x = 16,537 × 9,766.52
4. Step 4: Simplify right side
   11,078.72x = 161,508,941.24
5. Step 5: Solve for x
   x = 161,508,941.24/11,078.72
6. Step 6: Final answer
   x = 14,578.30