Finding the Fourth Proportional to 2,586.20, 3,568.96 and 1,407.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.20 : 3,568.96 = 1,407.27 : x
2. Step 2: Convert to fraction form
   2,586.20/3,568.96 = 1,407.27/x
3. Step 3: Cross multiply
   2,586.20x = 3,568.96 × 1,407.27
4. Step 4: Simplify right side
   2,586.20x = 5,022,505.48
5. Step 5: Solve for x
   x = 5,022,505.48/2,586.20
6. Step 6: Final answer
   x = 1,942.04