Finding the Fourth Proportional to 2,540.52, 3,810.96 and 809.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.52 : 3,810.96 = 809.28 : x
2. Step 2: Convert to fraction form
   2,540.52/3,810.96 = 809.28/x
3. Step 3: Cross multiply
   2,540.52x = 3,810.96 × 809.28
4. Step 4: Simplify right side
   2,540.52x = 3,084,133.71
5. Step 5: Solve for x
   x = 3,084,133.71/2,540.52
6. Step 6: Final answer
   x = 1,213.98