Finding the Fourth Proportional to 10,312.50, 14,229.60 and 5,834.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,312.50 : 14,229.60 = 5,834.82 : x
2. Step 2: Convert to fraction form
   10,312.50/14,229.60 = 5,834.82/x
3. Step 3: Cross multiply
   10,312.50x = 14,229.60 × 5,834.82
4. Step 4: Simplify right side
   10,312.50x = 83,027,154.67
5. Step 5: Solve for x
   x = 83,027,154.67/10,312.50
6. Step 6: Final answer
   x = 8,051.12