Finding the Fourth Proportional to 2,585.65, 3,568.19 and 1,406.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.65 : 3,568.19 = 1,406.71 : x
2. Step 2: Convert to fraction form
   2,585.65/3,568.19 = 1,406.71/x
3. Step 3: Cross multiply
   2,585.65x = 3,568.19 × 1,406.71
4. Step 4: Simplify right side
   2,585.65x = 5,019,401.52
5. Step 5: Solve for x
   x = 5,019,401.52/2,585.65
6. Step 6: Final answer
   x = 1,941.25