Finding the Fourth Proportional to 2,585.52, 3,567.60 and 1,466.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.52 : 3,567.60 = 1,466.64 : x
2. Step 2: Convert to fraction form
   2,585.52/3,567.60 = 1,466.64/x
3. Step 3: Cross multiply
   2,585.52x = 3,567.60 × 1,466.64
4. Step 4: Simplify right side
   2,585.52x = 5,232,384.86
5. Step 5: Solve for x
   x = 5,232,384.86/2,585.52
6. Step 6: Final answer
   x = 2,023.73