Finding the Fourth Proportional to 796.37, 1,098.88 and 464.83

Step by Step Solution

1. Step 1: Write the proportion equation
   796.37 : 1,098.88 = 464.83 : x
2. Step 2: Convert to fraction form
   796.37/1,098.88 = 464.83/x
3. Step 3: Cross multiply
   796.37x = 1,098.88 × 464.83
4. Step 4: Simplify right side
   796.37x = 510,792.39
5. Step 5: Solve for x
   x = 510,792.39/796.37
6. Step 6: Final answer
   x = 641.40