Finding the Fourth Proportional to 1,215.73, 1,822.78 and 728.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.73 : 1,822.78 = 728.52 : x
2. Step 2: Convert to fraction form
   1,215.73/1,822.78 = 728.52/x
3. Step 3: Cross multiply
   1,215.73x = 1,822.78 × 728.52
4. Step 4: Simplify right side
   1,215.73x = 1,327,931.69
5. Step 5: Solve for x
   x = 1,327,931.69/1,215.73
6. Step 6: Final answer
   x = 1,092.29