Finding the Fourth Proportional to 2,585.60, 3,568.21 and 1,406.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.60 : 3,568.21 = 1,406.71 : x
2. Step 2: Convert to fraction form
   2,585.60/3,568.21 = 1,406.71/x
3. Step 3: Cross multiply
   2,585.60x = 3,568.21 × 1,406.71
4. Step 4: Simplify right side
   2,585.60x = 5,019,436.69
5. Step 5: Solve for x
   x = 5,019,436.69/2,585.60
6. Step 6: Final answer
   x = 1,941.31