Finding the Fourth Proportional to 10,314.78, 14,234.62 and 5,838.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.78 : 14,234.62 = 5,838.53 : x
2. Step 2: Convert to fraction form
   10,314.78/14,234.62 = 5,838.53/x
3. Step 3: Cross multiply
   10,314.78x = 14,234.62 × 5,838.53
4. Step 4: Simplify right side
   10,314.78x = 83,109,255.91
5. Step 5: Solve for x
   x = 83,109,255.91/10,314.78
6. Step 6: Final answer
   x = 8,057.30