Finding the Fourth Proportional to 10,092.30, 15,140.88 and 5,162.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.30 : 15,140.88 = 5,162.10 : x
2. Step 2: Convert to fraction form
   10,092.30/15,140.88 = 5,162.10/x
3. Step 3: Cross multiply
   10,092.30x = 15,140.88 × 5,162.10
4. Step 4: Simplify right side
   10,092.30x = 78,158,736.65
5. Step 5: Solve for x
   x = 78,158,736.65/10,092.30
6. Step 6: Final answer
   x = 7,744.39