Finding the Fourth Proportional to 2,585.18, 3,567.65 and 1,466.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.18 : 3,567.65 = 1,466.25 : x
2. Step 2: Convert to fraction form
   2,585.18/3,567.65 = 1,466.25/x
3. Step 3: Cross multiply
   2,585.18x = 3,567.65 × 1,466.25
4. Step 4: Simplify right side
   2,585.18x = 5,231,059.48
5. Step 5: Solve for x
   x = 5,231,059.48/2,585.18
6. Step 6: Final answer
   x = 2,023.48