Finding the Fourth Proportional to 2,638.29, 3,640.71 and 1,590.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.29 : 3,640.71 = 1,590.15 : x
2. Step 2: Convert to fraction form
   2,638.29/3,640.71 = 1,590.15/x
3. Step 3: Cross multiply
   2,638.29x = 3,640.71 × 1,590.15
4. Step 4: Simplify right side
   2,638.29x = 5,789,275.01
5. Step 5: Solve for x
   x = 5,789,275.01/2,638.29
6. Step 6: Final answer
   x = 2,194.33