Finding the Fourth Proportional to 1,822.29, 2,734.34 and 727.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.29 : 2,734.34 = 727.42 : x
2. Step 2: Convert to fraction form
   1,822.29/2,734.34 = 727.42/x
3. Step 3: Cross multiply
   1,822.29x = 2,734.34 × 727.42
4. Step 4: Simplify right side
   1,822.29x = 1,989,013.60
5. Step 5: Solve for x
   x = 1,989,013.60/1,822.29
6. Step 6: Final answer
   x = 1,091.49