Finding the Fourth Proportional to 1,397.29, 1,928.31 and 807.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.29 : 1,928.31 = 807.82 : x
2. Step 2: Convert to fraction form
   1,397.29/1,928.31 = 807.82/x
3. Step 3: Cross multiply
   1,397.29x = 1,928.31 × 807.82
4. Step 4: Simplify right side
   1,397.29x = 1,557,727.38
5. Step 5: Solve for x
   x = 1,557,727.38/1,397.29
6. Step 6: Final answer
   x = 1,114.82