Finding the Fourth Proportional to 2,586.57, 3,569.37 and 1,407.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.57 : 3,569.37 = 1,407.61 : x
2. Step 2: Convert to fraction form
   2,586.57/3,569.37 = 1,407.61/x
3. Step 3: Cross multiply
   2,586.57x = 3,569.37 × 1,407.61
4. Step 4: Simplify right side
   2,586.57x = 5,024,280.09
5. Step 5: Solve for x
   x = 5,024,280.09/2,586.57
6. Step 6: Final answer
   x = 1,942.45