Finding the Fourth Proportional to 2,585.29, 3,567.74 and 1,466.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.29 : 3,567.74 = 1,466.20 : x
2. Step 2: Convert to fraction form
   2,585.29/3,567.74 = 1,466.20/x
3. Step 3: Cross multiply
   2,585.29x = 3,567.74 × 1,466.20
4. Step 4: Simplify right side
   2,585.29x = 5,231,013.06
5. Step 5: Solve for x
   x = 5,231,013.06/2,585.29
6. Step 6: Final answer
   x = 2,023.38