Finding the Fourth Proportional to 2,586.71, 3,569.73 and 1,407.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.71 : 3,569.73 = 1,407.80 : x
2. Step 2: Convert to fraction form
   2,586.71/3,569.73 = 1,407.80/x
3. Step 3: Cross multiply
   2,586.71x = 3,569.73 × 1,407.80
4. Step 4: Simplify right side
   2,586.71x = 5,025,465.89
5. Step 5: Solve for x
   x = 5,025,465.89/2,586.71
6. Step 6: Final answer
   x = 1,942.80