Finding the Fourth Proportional to 1,320.49, 1,822.05 and 823.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.49 : 1,822.05 = 823.28 : x
2. Step 2: Convert to fraction form
   1,320.49/1,822.05 = 823.28/x
3. Step 3: Cross multiply
   1,320.49x = 1,822.05 × 823.28
4. Step 4: Simplify right side
   1,320.49x = 1,500,061.88
5. Step 5: Solve for x
   x = 1,500,061.88/1,320.49
6. Step 6: Final answer
   x = 1,135.99