Finding the Fourth Proportional to 2,582.69, 3,565.82 and 1,589.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.69 : 3,565.82 = 1,589.69 : x
2. Step 2: Convert to fraction form
   2,582.69/3,565.82 = 1,589.69/x
3. Step 3: Cross multiply
   2,582.69x = 3,565.82 × 1,589.69
4. Step 4: Simplify right side
   2,582.69x = 5,668,561.28
5. Step 5: Solve for x
   x = 5,668,561.28/2,582.69
6. Step 6: Final answer
   x = 2,194.83