Finding the Fourth Proportional to 2,584.17, 3,566.79 and 1,640.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.17 : 3,566.79 = 1,640.52 : x
2. Step 2: Convert to fraction form
   2,584.17/3,566.79 = 1,640.52/x
3. Step 3: Cross multiply
   2,584.17x = 3,566.79 × 1,640.52
4. Step 4: Simplify right side
   2,584.17x = 5,851,390.33
5. Step 5: Solve for x
   x = 5,851,390.33/2,584.17
6. Step 6: Final answer
   x = 2,264.32