Finding the Fourth Proportional to 2,585.71, 3,568.26 and 1,406.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.71 : 3,568.26 = 1,406.78 : x
2. Step 2: Convert to fraction form
   2,585.71/3,568.26 = 1,406.78/x
3. Step 3: Cross multiply
   2,585.71x = 3,568.26 × 1,406.78
4. Step 4: Simplify right side
   2,585.71x = 5,019,765.72
5. Step 5: Solve for x
   x = 5,019,765.72/2,585.71
6. Step 6: Final answer
   x = 1,941.35