Finding the Fourth Proportional to 10,310.80, 14,229.59 and 5,834.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,310.80 : 14,229.59 = 5,834.74 : x
2. Step 2: Convert to fraction form
   10,310.80/14,229.59 = 5,834.74/x
3. Step 3: Cross multiply
   10,310.80x = 14,229.59 × 5,834.74
4. Step 4: Simplify right side
   10,310.80x = 83,025,957.96
5. Step 5: Solve for x
   x = 83,025,957.96/10,310.80
6. Step 6: Final answer
   x = 8,052.33