Finding the Fourth Proportional to 2,230.76, 3,078.24 and 1,640.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,230.76 : 3,078.24 = 1,640.27 : x
2. Step 2: Convert to fraction form
   2,230.76/3,078.24 = 1,640.27/x
3. Step 3: Cross multiply
   2,230.76x = 3,078.24 × 1,640.27
4. Step 4: Simplify right side
   2,230.76x = 5,049,129.33
5. Step 5: Solve for x
   x = 5,049,129.33/2,230.76
6. Step 6: Final answer
   x = 2,263.42