Finding the Fourth Proportional to 2,585.13, 3,567.15 and 1,466.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.13 : 3,567.15 = 1,466.07 : x
2. Step 2: Convert to fraction form
   2,585.13/3,567.15 = 1,466.07/x
3. Step 3: Cross multiply
   2,585.13x = 3,567.15 × 1,466.07
4. Step 4: Simplify right side
   2,585.13x = 5,229,691.60
5. Step 5: Solve for x
   x = 5,229,691.60/2,585.13
6. Step 6: Final answer
   x = 2,022.99