Finding the Fourth Proportional to 2,540.09, 3,809.43 and 896.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.09 : 3,809.43 = 896.42 : x
2. Step 2: Convert to fraction form
   2,540.09/3,809.43 = 896.42/x
3. Step 3: Cross multiply
   2,540.09x = 3,809.43 × 896.42
4. Step 4: Simplify right side
   2,540.09x = 3,414,858.76
5. Step 5: Solve for x
   x = 3,414,858.76/2,540.09
6. Step 6: Final answer
   x = 1,344.38