Finding the Fourth Proportional to 10,311.10, 14,229.47 and 5,834.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,311.10 : 14,229.47 = 5,834.63 : x
2. Step 2: Convert to fraction form
   10,311.10/14,229.47 = 5,834.63/x
3. Step 3: Cross multiply
   10,311.10x = 14,229.47 × 5,834.63
4. Step 4: Simplify right side
   10,311.10x = 83,023,742.71
5. Step 5: Solve for x
   x = 83,023,742.71/10,311.10
6. Step 6: Final answer
   x = 8,051.88