Finding the Fourth Proportional to 2,270.39, 3,405.86 and 809.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270.39 : 3,405.86 = 809.69 : x
2. Step 2: Convert to fraction form
   2,270.39/3,405.86 = 809.69/x
3. Step 3: Cross multiply
   2,270.39x = 3,405.86 × 809.69
4. Step 4: Simplify right side
   2,270.39x = 2,757,690.78
5. Step 5: Solve for x
   x = 2,757,690.78/2,270.39
6. Step 6: Final answer
   x = 1,214.63