Finding the Fourth Proportional to 1,320.57, 1,822.50 and 796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.57 : 1,822.50 = 796.50 : x
2. Step 2: Convert to fraction form
   1,320.57/1,822.50 = 796.50/x
3. Step 3: Cross multiply
   1,320.57x = 1,822.50 × 796.50
4. Step 4: Simplify right side
   1,320.57x = 1,451,621.25
5. Step 5: Solve for x
   x = 1,451,621.25/1,320.57
6. Step 6: Final answer
   x = 1,099.24