Finding the Fourth Proportional to 1,306.82, 1,802.73 and 809.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,306.82 : 1,802.73 = 809.30 : x
2. Step 2: Convert to fraction form
   1,306.82/1,802.73 = 809.30/x
3. Step 3: Cross multiply
   1,306.82x = 1,802.73 × 809.30
4. Step 4: Simplify right side
   1,306.82x = 1,458,949.39
5. Step 5: Solve for x
   x = 1,458,949.39/1,306.82
6. Step 6: Final answer
   x = 1,116.41