Finding the Fourth Proportional to 1,255.82, 1,732.83 and 789.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.82 : 1,732.83 = 789.74 : x
2. Step 2: Convert to fraction form
   1,255.82/1,732.83 = 789.74/x
3. Step 3: Cross multiply
   1,255.82x = 1,732.83 × 789.74
4. Step 4: Simplify right side
   1,255.82x = 1,368,485.16
5. Step 5: Solve for x
   x = 1,368,485.16/1,255.82
6. Step 6: Final answer
   x = 1,089.71