Finding the Fourth Proportional to 10,082.61, 15,128.52 and 5,149.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.61 : 15,128.52 = 5,149.71 : x
2. Step 2: Convert to fraction form
   10,082.61/15,128.52 = 5,149.71/x
3. Step 3: Cross multiply
   10,082.61x = 15,128.52 × 5,149.71
4. Step 4: Simplify right side
   10,082.61x = 77,907,490.73
5. Step 5: Solve for x
   x = 77,907,490.73/10,082.61
6. Step 6: Final answer
   x = 7,726.92