Finding the Fourth Proportional to 2,584.69, 3,567.57 and 1,590.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.69 : 3,567.57 = 1,590.82 : x
2. Step 2: Convert to fraction form
   2,584.69/3,567.57 = 1,590.82/x
3. Step 3: Cross multiply
   2,584.69x = 3,567.57 × 1,590.82
4. Step 4: Simplify right side
   2,584.69x = 5,675,361.71
5. Step 5: Solve for x
   x = 5,675,361.71/2,584.69
6. Step 6: Final answer
   x = 2,195.76