Finding the Fourth Proportional to 10,614.87, 14,648.17 and 5,834.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.87 : 14,648.17 = 5,834.83 : x
2. Step 2: Convert to fraction form
   10,614.87/14,648.17 = 5,834.83/x
3. Step 3: Cross multiply
   10,614.87x = 14,648.17 × 5,834.83
4. Step 4: Simplify right side
   10,614.87x = 85,469,581.76
5. Step 5: Solve for x
   x = 85,469,581.76/10,614.87
6. Step 6: Final answer
   x = 8,051.87