Finding the Fourth Proportional to 1,282.73, 1,922.81 and 820.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.73 : 1,922.81 = 820.76 : x
2. Step 2: Convert to fraction form
   1,282.73/1,922.81 = 820.76/x
3. Step 3: Cross multiply
   1,282.73x = 1,922.81 × 820.76
4. Step 4: Simplify right side
   1,282.73x = 1,578,151.82
5. Step 5: Solve for x
   x = 1,578,151.82/1,282.73
6. Step 6: Final answer
   x = 1,230.31