Finding the Fourth Proportional to 11,038.38, 16,557.55 and 7,766.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,038.38 : 16,557.55 = 7,766.10 : x
2. Step 2: Convert to fraction form
   11,038.38/16,557.55 = 7,766.10/x
3. Step 3: Cross multiply
   11,038.38x = 16,557.55 × 7,766.10
4. Step 4: Simplify right side
   11,038.38x = 128,587,589.06
5. Step 5: Solve for x
   x = 128,587,589.06/11,038.38
6. Step 6: Final answer
   x = 11,649.14