Finding the Fourth Proportional to 2,269.78, 3,404.94 and 809.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.78 : 3,404.94 = 809.08 : x
2. Step 2: Convert to fraction form
   2,269.78/3,404.94 = 809.08/x
3. Step 3: Cross multiply
   2,269.78x = 3,404.94 × 809.08
4. Step 4: Simplify right side
   2,269.78x = 2,754,868.86
5. Step 5: Solve for x
   x = 2,754,868.86/2,269.78
6. Step 6: Final answer
   x = 1,213.72