Finding the Fourth Proportional to 2,585.30, 3,567.90 and 1,466.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.30 : 3,567.90 = 1,466.43 : x
2. Step 2: Convert to fraction form
   2,585.30/3,567.90 = 1,466.43/x
3. Step 3: Cross multiply
   2,585.30x = 3,567.90 × 1,466.43
4. Step 4: Simplify right side
   2,585.30x = 5,232,075.60
5. Step 5: Solve for x
   x = 5,232,075.60/2,585.30
6. Step 6: Final answer
   x = 2,023.78