Finding the Fourth Proportional to 2,585.50, 3,568.28 and 1,466.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.50 : 3,568.28 = 1,466.76 : x
2. Step 2: Convert to fraction form
   2,585.50/3,568.28 = 1,466.76/x
3. Step 3: Cross multiply
   2,585.50x = 3,568.28 × 1,466.76
4. Step 4: Simplify right side
   2,585.50x = 5,233,810.37
5. Step 5: Solve for x
   x = 5,233,810.37/2,585.50
6. Step 6: Final answer
   x = 2,024.29