Finding the Fourth Proportional to 796.50, 1,189.15 and 680.99

Step by Step Solution

1. Step 1: Write the proportion equation
   796.50 : 1,189.15 = 680.99 : x
2. Step 2: Convert to fraction form
   796.50/1,189.15 = 680.99/x
3. Step 3: Cross multiply
   796.50x = 1,189.15 × 680.99
4. Step 4: Simplify right side
   796.50x = 809,791.61
5. Step 5: Solve for x
   x = 809,791.61/796.50
6. Step 6: Final answer
   x = 1,016.69