Finding the Fourth Proportional to 2,586.20, 3,568.98 and 1,407.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.20 : 3,568.98 = 1,407.24 : x
2. Step 2: Convert to fraction form
   2,586.20/3,568.98 = 1,407.24/x
3. Step 3: Cross multiply
   2,586.20x = 3,568.98 × 1,407.24
4. Step 4: Simplify right side
   2,586.20x = 5,022,411.42
5. Step 5: Solve for x
   x = 5,022,411.42/2,586.20
6. Step 6: Final answer
   x = 1,942.01