Finding the Fourth Proportional to 796.32, 1,098.72 and 464.54

Step by Step Solution

1. Step 1: Write the proportion equation
   796.32 : 1,098.72 = 464.54 : x
2. Step 2: Convert to fraction form
   796.32/1,098.72 = 464.54/x
3. Step 3: Cross multiply
   796.32x = 1,098.72 × 464.54
4. Step 4: Simplify right side
   796.32x = 510,393.90
5. Step 5: Solve for x
   x = 510,393.90/796.32
6. Step 6: Final answer
   x = 640.94