Finding the Fourth Proportional to 2,584.98, 3,567.60 and 1,466.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.98 : 3,567.60 = 1,466.10 : x
2. Step 2: Convert to fraction form
   2,584.98/3,567.60 = 1,466.10/x
3. Step 3: Cross multiply
   2,584.98x = 3,567.60 × 1,466.10
4. Step 4: Simplify right side
   2,584.98x = 5,230,458.36
5. Step 5: Solve for x
   x = 5,230,458.36/2,584.98
6. Step 6: Final answer
   x = 2,023.40