Finding the Fourth Proportional to 10,082.14, 15,124.76 and 5,149.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.14 : 15,124.76 = 5,149.10 : x
2. Step 2: Convert to fraction form
   10,082.14/15,124.76 = 5,149.10/x
3. Step 3: Cross multiply
   10,082.14x = 15,124.76 × 5,149.10
4. Step 4: Simplify right side
   10,082.14x = 77,878,901.72
5. Step 5: Solve for x
   x = 77,878,901.72/10,082.14
6. Step 6: Final answer
   x = 7,724.44