Finding the Fourth Proportional to 796.80, 1,100.12 and 498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   796.80 : 1,100.12 = 498.50 : x
2. Step 2: Convert to fraction form
   796.80/1,100.12 = 498.50/x
3. Step 3: Cross multiply
   796.80x = 1,100.12 × 498.50
4. Step 4: Simplify right side
   796.80x = 548,413.82
5. Step 5: Solve for x
   x = 548,413.82/796.80
6. Step 6: Final answer
   x = 688.27