Finding the Fourth Proportional to 2,586.75, 3,569.75 and 1,407.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.75 : 3,569.75 = 1,407.82 : x
2. Step 2: Convert to fraction form
   2,586.75/3,569.75 = 1,407.82/x
3. Step 3: Cross multiply
   2,586.75x = 3,569.75 × 1,407.82
4. Step 4: Simplify right side
   2,586.75x = 5,025,565.45
5. Step 5: Solve for x
   x = 5,025,565.45/2,586.75
6. Step 6: Final answer
   x = 1,942.81