Finding the Fourth Proportional to 2,585.49, 3,567.90 and 1,466.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.49 : 3,567.90 = 1,466.53 : x
2. Step 2: Convert to fraction form
   2,585.49/3,567.90 = 1,466.53/x
3. Step 3: Cross multiply
   2,585.49x = 3,567.90 × 1,466.53
4. Step 4: Simplify right side
   2,585.49x = 5,232,432.39
5. Step 5: Solve for x
   x = 5,232,432.39/2,585.49
6. Step 6: Final answer
   x = 2,023.77