Finding the Fourth Proportional to 865.16, 1,302.42 and 789.83

Step by Step Solution

1. Step 1: Write the proportion equation
   865.16 : 1,302.42 = 789.83 : x
2. Step 2: Convert to fraction form
   865.16/1,302.42 = 789.83/x
3. Step 3: Cross multiply
   865.16x = 1,302.42 × 789.83
4. Step 4: Simplify right side
   865.16x = 1,028,696.83
5. Step 5: Solve for x
   x = 1,028,696.83/865.16
6. Step 6: Final answer
   x = 1,189.02