Finding the Fourth Proportional to 2,585.70, 3,568.28 and 1,406.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.70 : 3,568.28 = 1,406.74 : x
2. Step 2: Convert to fraction form
   2,585.70/3,568.28 = 1,406.74/x
3. Step 3: Cross multiply
   2,585.70x = 3,568.28 × 1,406.74
4. Step 4: Simplify right side
   2,585.70x = 5,019,642.21
5. Step 5: Solve for x
   x = 5,019,642.21/2,585.70
6. Step 6: Final answer
   x = 1,941.31