Finding the Fourth Proportional to 1,397.97, 1,929.25 and 800.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.97 : 1,929.25 = 800.57 : x
2. Step 2: Convert to fraction form
   1,397.97/1,929.25 = 800.57/x
3. Step 3: Cross multiply
   1,397.97x = 1,929.25 × 800.57
4. Step 4: Simplify right side
   1,397.97x = 1,544,499.67
5. Step 5: Solve for x
   x = 1,544,499.67/1,397.97
6. Step 6: Final answer
   x = 1,104.82