Finding the Fourth Proportional to 2,566.92, 3,823.89 and 2,407.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.92 : 3,823.89 = 2,407.56 : x
2. Step 2: Convert to fraction form
   2,566.92/3,823.89 = 2,407.56/x
3. Step 3: Cross multiply
   2,566.92x = 3,823.89 × 2,407.56
4. Step 4: Simplify right side
   2,566.92x = 9,206,244.61
5. Step 5: Solve for x
   x = 9,206,244.61/2,566.92
6. Step 6: Final answer
   x = 3,586.49