Finding the Fourth Proportional to 10,105.92, 15,160.10 and 5,174.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.92 : 15,160.10 = 5,174.24 : x
2. Step 2: Convert to fraction form
   10,105.92/15,160.10 = 5,174.24/x
3. Step 3: Cross multiply
   10,105.92x = 15,160.10 × 5,174.24
4. Step 4: Simplify right side
   10,105.92x = 78,441,894.15
5. Step 5: Solve for x
   x = 78,441,894.15/10,105.92
6. Step 6: Final answer
   x = 7,761.97