Finding the Fourth Proportional to 2,584.88, 3,565.80 and 1,640.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.88 : 3,565.80 = 1,640.72 : x
2. Step 2: Convert to fraction form
   2,584.88/3,565.80 = 1,640.72/x
3. Step 3: Cross multiply
   2,584.88x = 3,565.80 × 1,640.72
4. Step 4: Simplify right side
   2,584.88x = 5,850,479.38
5. Step 5: Solve for x
   x = 5,850,479.38/2,584.88
6. Step 6: Final answer
   x = 2,263.35