Finding the Fourth Proportional to 10,311.65, 14,229.29 and 5,834.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,311.65 : 14,229.29 = 5,834.37 : x
2. Step 2: Convert to fraction form
   10,311.65/14,229.29 = 5,834.37/x
3. Step 3: Cross multiply
   10,311.65x = 14,229.29 × 5,834.37
4. Step 4: Simplify right side
   10,311.65x = 83,018,957.28
5. Step 5: Solve for x
   x = 83,018,957.28/10,311.65
6. Step 6: Final answer
   x = 8,050.99