Finding the Fourth Proportional to 2,540.40, 3,809.91 and 896.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.40 : 3,809.91 = 896.06 : x
2. Step 2: Convert to fraction form
   2,540.40/3,809.91 = 896.06/x
3. Step 3: Cross multiply
   2,540.40x = 3,809.91 × 896.06
4. Step 4: Simplify right side
   2,540.40x = 3,413,907.95
5. Step 5: Solve for x
   x = 3,413,907.95/2,540.40
6. Step 6: Final answer
   x = 1,343.85