Finding the Fourth Proportional to 2,584.69, 3,566.94 and 1,590.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.69 : 3,566.94 = 1,590.55 : x
2. Step 2: Convert to fraction form
   2,584.69/3,566.94 = 1,590.55/x
3. Step 3: Cross multiply
   2,584.69x = 3,566.94 × 1,590.55
4. Step 4: Simplify right side
   2,584.69x = 5,673,396.42
5. Step 5: Solve for x
   x = 5,673,396.42/2,584.69
6. Step 6: Final answer
   x = 2,195.00