Finding the Fourth Proportional to 2,584.27, 3,565.12 and 1,589.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.27 : 3,565.12 = 1,589.19 : x
2. Step 2: Convert to fraction form
   2,584.27/3,565.12 = 1,589.19/x
3. Step 3: Cross multiply
   2,584.27x = 3,565.12 × 1,589.19
4. Step 4: Simplify right side
   2,584.27x = 5,665,653.05
5. Step 5: Solve for x
   x = 5,665,653.05/2,584.27
6. Step 6: Final answer
   x = 2,192.36