Finding the Fourth Proportional to 1,320.69, 1,822.77 and 796.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.69 : 1,822.77 = 796.80 : x
2. Step 2: Convert to fraction form
   1,320.69/1,822.77 = 796.80/x
3. Step 3: Cross multiply
   1,320.69x = 1,822.77 × 796.80
4. Step 4: Simplify right side
   1,320.69x = 1,452,383.14
5. Step 5: Solve for x
   x = 1,452,383.14/1,320.69
6. Step 6: Final answer
   x = 1,099.72