Finding the Fourth Proportional to 2,584.15, 3,565.53 and 1,464.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.15 : 3,565.53 = 1,464.83 : x
2. Step 2: Convert to fraction form
   2,584.15/3,565.53 = 1,464.83/x
3. Step 3: Cross multiply
   2,584.15x = 3,565.53 × 1,464.83
4. Step 4: Simplify right side
   2,584.15x = 5,222,895.31
5. Step 5: Solve for x
   x = 5,222,895.31/2,584.15
6. Step 6: Final answer
   x = 2,021.13