Finding the Fourth Proportional to 10,084.05, 15,129.16 and 5,157.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.05 : 15,129.16 = 5,157.15 : x
2. Step 2: Convert to fraction form
   10,084.05/15,129.16 = 5,157.15/x
3. Step 3: Cross multiply
   10,084.05x = 15,129.16 × 5,157.15
4. Step 4: Simplify right side
   10,084.05x = 78,023,321.71
5. Step 5: Solve for x
   x = 78,023,321.71/10,084.05
6. Step 6: Final answer
   x = 7,737.30