Finding the Fourth Proportional to 1,320.82, 1,823.34 and 796.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.82 : 1,823.34 = 796.76 : x
2. Step 2: Convert to fraction form
   1,320.82/1,823.34 = 796.76/x
3. Step 3: Cross multiply
   1,320.82x = 1,823.34 × 796.76
4. Step 4: Simplify right side
   1,320.82x = 1,452,764.38
5. Step 5: Solve for x
   x = 1,452,764.38/1,320.82
6. Step 6: Final answer
   x = 1,099.90