Finding the Fourth Proportional to 1,398.58, 1,929.82 and 809.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,398.58 : 1,929.82 = 809.17 : x
2. Step 2: Convert to fraction form
   1,398.58/1,929.82 = 809.17/x
3. Step 3: Cross multiply
   1,398.58x = 1,929.82 × 809.17
4. Step 4: Simplify right side
   1,398.58x = 1,561,538.75
5. Step 5: Solve for x
   x = 1,561,538.75/1,398.58
6. Step 6: Final answer
   x = 1,116.52