Finding the Fourth Proportional to 10,314.92, 14,234.38 and 5,838.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.92 : 14,234.38 = 5,838.59 : x
2. Step 2: Convert to fraction form
   10,314.92/14,234.38 = 5,838.59/x
3. Step 3: Cross multiply
   10,314.92x = 14,234.38 × 5,838.59
4. Step 4: Simplify right side
   10,314.92x = 83,108,708.72
5. Step 5: Solve for x
   x = 83,108,708.72/10,314.92
6. Step 6: Final answer
   x = 8,057.14