Finding the Fourth Proportional to 796.28, 1,098.96 and 464.82

Step by Step Solution

1. Step 1: Write the proportion equation
   796.28 : 1,098.96 = 464.82 : x
2. Step 2: Convert to fraction form
   796.28/1,098.96 = 464.82/x
3. Step 3: Cross multiply
   796.28x = 1,098.96 × 464.82
4. Step 4: Simplify right side
   796.28x = 510,818.59
5. Step 5: Solve for x
   x = 510,818.59/796.28
6. Step 6: Final answer
   x = 641.51