Finding the Fourth Proportional to 796.29, 1,196.10 and 488.31

Step by Step Solution

1. Step 1: Write the proportion equation
   796.29 : 1,196.10 = 488.31 : x
2. Step 2: Convert to fraction form
   796.29/1,196.10 = 488.31/x
3. Step 3: Cross multiply
   796.29x = 1,196.10 × 488.31
4. Step 4: Simplify right side
   796.29x = 584,067.59
5. Step 5: Solve for x
   x = 584,067.59/796.29
6. Step 6: Final answer
   x = 733.49