Finding the Fourth Proportional to 2,585.59, 3,568.12 and 1,406.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.59 : 3,568.12 = 1,406.66 : x
2. Step 2: Convert to fraction form
   2,585.59/3,568.12 = 1,406.66/x
3. Step 3: Cross multiply
   2,585.59x = 3,568.12 × 1,406.66
4. Step 4: Simplify right side
   2,585.59x = 5,019,110.32
5. Step 5: Solve for x
   x = 5,019,110.32/2,585.59
6. Step 6: Final answer
   x = 1,941.19