Finding the Fourth Proportional to 10,874.97, 16,314.98 and 3,854.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,874.97 : 16,314.98 = 3,854.61 : x
2. Step 2: Convert to fraction form
   10,874.97/16,314.98 = 3,854.61/x
3. Step 3: Cross multiply
   10,874.97x = 16,314.98 × 3,854.61
4. Step 4: Simplify right side
   10,874.97x = 62,887,865.78
5. Step 5: Solve for x
   x = 62,887,865.78/10,874.97
6. Step 6: Final answer
   x = 5,782.81