Finding the Fourth Proportional to 10,234.10, 15,326.49 and 5,838.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.10 : 15,326.49 = 5,838.23 : x
2. Step 2: Convert to fraction form
   10,234.10/15,326.49 = 5,838.23/x
3. Step 3: Cross multiply
   10,234.10x = 15,326.49 × 5,838.23
4. Step 4: Simplify right side
   10,234.10x = 89,479,573.71
5. Step 5: Solve for x
   x = 89,479,573.71/10,234.10
6. Step 6: Final answer
   x = 8,743.28