Finding the Fourth Proportional to 2,584.30, 3,565.17 and 1,589.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.30 : 3,565.17 = 1,589.22 : x
2. Step 2: Convert to fraction form
   2,584.30/3,565.17 = 1,589.22/x
3. Step 3: Cross multiply
   2,584.30x = 3,565.17 × 1,589.22
4. Step 4: Simplify right side
   2,584.30x = 5,665,839.47
5. Step 5: Solve for x
   x = 5,665,839.47/2,584.30
6. Step 6: Final answer
   x = 2,192.41