Finding the Fourth Proportional to 2,586.78, 3,569.82 and 1,407.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.78 : 3,569.82 = 1,407.85 : x
2. Step 2: Convert to fraction form
   2,586.78/3,569.82 = 1,407.85/x
3. Step 3: Cross multiply
   2,586.78x = 3,569.82 × 1,407.85
4. Step 4: Simplify right side
   2,586.78x = 5,025,762.16
5. Step 5: Solve for x
   x = 5,025,762.16/2,586.78
6. Step 6: Final answer
   x = 1,942.86