Finding the Fourth Proportional to 796.25, 1,098.72 and 464.60

Step by Step Solution

1. Step 1: Write the proportion equation
   796.25 : 1,098.72 = 464.60 : x
2. Step 2: Convert to fraction form
   796.25/1,098.72 = 464.60/x
3. Step 3: Cross multiply
   796.25x = 1,098.72 × 464.60
4. Step 4: Simplify right side
   796.25x = 510,459.82
5. Step 5: Solve for x
   x = 510,459.82/796.25
6. Step 6: Final answer
   x = 641.08