Finding the Fourth Proportional to 2,581.61, 3,891.86 and 2,414.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.61 : 3,891.86 = 2,414.57 : x
2. Step 2: Convert to fraction form
   2,581.61/3,891.86 = 2,414.57/x
3. Step 3: Cross multiply
   2,581.61x = 3,891.86 × 2,414.57
4. Step 4: Simplify right side
   2,581.61x = 9,397,136.87
5. Step 5: Solve for x
   x = 9,397,136.87/2,581.61
6. Step 6: Final answer
   x = 3,640.04