Finding the Fourth Proportional to 2,540.82, 3,828.16 and 2,294.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.82 : 3,828.16 = 2,294.30 : x
2. Step 2: Convert to fraction form
   2,540.82/3,828.16 = 2,294.30/x
3. Step 3: Cross multiply
   2,540.82x = 3,828.16 × 2,294.30
4. Step 4: Simplify right side
   2,540.82x = 8,782,949.16
5. Step 5: Solve for x
   x = 8,782,949.16/2,540.82
6. Step 6: Final answer
   x = 3,456.74