Finding the Fourth Proportional to 2,563.94, 3,845.84 and 809.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.94 : 3,845.84 = 809.03 : x
2. Step 2: Convert to fraction form
   2,563.94/3,845.84 = 809.03/x
3. Step 3: Cross multiply
   2,563.94x = 3,845.84 × 809.03
4. Step 4: Simplify right side
   2,563.94x = 3,111,405.50
5. Step 5: Solve for x
   x = 3,111,405.50/2,563.94
6. Step 6: Final answer
   x = 1,213.52