Finding the Fourth Proportional to 796.72, 1,193.42 and 506.72

Step by Step Solution

1. Step 1: Write the proportion equation
   796.72 : 1,193.42 = 506.72 : x
2. Step 2: Convert to fraction form
   796.72/1,193.42 = 506.72/x
3. Step 3: Cross multiply
   796.72x = 1,193.42 × 506.72
4. Step 4: Simplify right side
   796.72x = 604,729.78
5. Step 5: Solve for x
   x = 604,729.78/796.72
6. Step 6: Final answer
   x = 759.02