Finding the Fourth Proportional to 2,585.88, 3,568.58 and 1,466.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.88 : 3,568.58 = 1,466.61 : x
2. Step 2: Convert to fraction form
   2,585.88/3,568.58 = 1,466.61/x
3. Step 3: Cross multiply
   2,585.88x = 3,568.58 × 1,466.61
4. Step 4: Simplify right side
   2,585.88x = 5,233,697.27
5. Step 5: Solve for x
   x = 5,233,697.27/2,585.88
6. Step 6: Final answer
   x = 2,023.96