Finding the Fourth Proportional to 2,585.69, 3,568.30 and 1,466.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.69 : 3,568.30 = 1,466.61 : x
2. Step 2: Convert to fraction form
   2,585.69/3,568.30 = 1,466.61/x
3. Step 3: Cross multiply
   2,585.69x = 3,568.30 × 1,466.61
4. Step 4: Simplify right side
   2,585.69x = 5,233,304.46
5. Step 5: Solve for x
   x = 5,233,304.46/2,585.69
6. Step 6: Final answer
   x = 2,023.95