Finding the Fourth Proportional to 2,578.16, 3,559.71 and 1,584.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.16 : 3,559.71 = 1,584.77 : x
2. Step 2: Convert to fraction form
   2,578.16/3,559.71 = 1,584.77/x
3. Step 3: Cross multiply
   2,578.16x = 3,559.71 × 1,584.77
4. Step 4: Simplify right side
   2,578.16x = 5,641,321.62
5. Step 5: Solve for x
   x = 5,641,321.62/2,578.16
6. Step 6: Final answer
   x = 2,188.12