Finding the Fourth Proportional to 1,822.25, 2,731.89 and 725.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.25 : 2,731.89 = 725.55 : x
2. Step 2: Convert to fraction form
   1,822.25/2,731.89 = 725.55/x
3. Step 3: Cross multiply
   1,822.25x = 2,731.89 × 725.55
4. Step 4: Simplify right side
   1,822.25x = 1,982,122.79
5. Step 5: Solve for x
   x = 1,982,122.79/1,822.25
6. Step 6: Final answer
   x = 1,087.74