Finding the Fourth Proportional to 2,584.90, 3,567.24 and 1,465.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.90 : 3,567.24 = 1,465.78 : x
2. Step 2: Convert to fraction form
   2,584.90/3,567.24 = 1,465.78/x
3. Step 3: Cross multiply
   2,584.90x = 3,567.24 × 1,465.78
4. Step 4: Simplify right side
   2,584.90x = 5,228,789.05
5. Step 5: Solve for x
   x = 5,228,789.05/2,584.90
6. Step 6: Final answer
   x = 2,022.82