Finding the Fourth Proportional to 796.38, 1,193.82 and 385.32

Step by Step Solution

1. Step 1: Write the proportion equation
   796.38 : 1,193.82 = 385.32 : x
2. Step 2: Convert to fraction form
   796.38/1,193.82 = 385.32/x
3. Step 3: Cross multiply
   796.38x = 1,193.82 × 385.32
4. Step 4: Simplify right side
   796.38x = 460,002.72
5. Step 5: Solve for x
   x = 460,002.72/796.38
6. Step 6: Final answer
   x = 577.62