Finding the Fourth Proportional to 2,585.31, 3,567.96 and 1,466.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.31 : 3,567.96 = 1,466.30 : x
2. Step 2: Convert to fraction form
   2,585.31/3,567.96 = 1,466.30/x
3. Step 3: Cross multiply
   2,585.31x = 3,567.96 × 1,466.30
4. Step 4: Simplify right side
   2,585.31x = 5,231,681.91
5. Step 5: Solve for x
   x = 5,231,681.91/2,585.31
6. Step 6: Final answer
   x = 2,023.62