Finding the Fourth Proportional to 2,584.35, 3,566.41 and 1,589.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.35 : 3,566.41 = 1,589.42 : x
2. Step 2: Convert to fraction form
   2,584.35/3,566.41 = 1,589.42/x
3. Step 3: Cross multiply
   2,584.35x = 3,566.41 × 1,589.42
4. Step 4: Simplify right side
   2,584.35x = 5,668,505.55
5. Step 5: Solve for x
   x = 5,668,505.55/2,584.35
6. Step 6: Final answer
   x = 2,193.40