Finding the Fourth Proportional to 10,314.54, 14,234.39 and 5,838.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.54 : 14,234.39 = 5,838.21 : x
2. Step 2: Convert to fraction form
   10,314.54/14,234.39 = 5,838.21/x
3. Step 3: Cross multiply
   10,314.54x = 14,234.39 × 5,838.21
4. Step 4: Simplify right side
   10,314.54x = 83,103,358.04
5. Step 5: Solve for x
   x = 83,103,358.04/10,314.54
6. Step 6: Final answer
   x = 8,056.91