Finding the Fourth Proportional to 2,584.79, 3,567.38 and 1,466.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.79 : 3,567.38 = 1,466.01 : x
2. Step 2: Convert to fraction form
   2,584.79/3,567.38 = 1,466.01/x
3. Step 3: Cross multiply
   2,584.79x = 3,567.38 × 1,466.01
4. Step 4: Simplify right side
   2,584.79x = 5,229,799.54
5. Step 5: Solve for x
   x = 5,229,799.54/2,584.79
6. Step 6: Final answer
   x = 2,023.30