Finding the Fourth Proportional to 1,823.14, 2,734.89 and 727.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.14 : 2,734.89 = 727.27 : x
2. Step 2: Convert to fraction form
   1,823.14/2,734.89 = 727.27/x
3. Step 3: Cross multiply
   1,823.14x = 2,734.89 × 727.27
4. Step 4: Simplify right side
   1,823.14x = 1,989,003.45
5. Step 5: Solve for x
   x = 1,989,003.45/1,823.14
6. Step 6: Final answer
   x = 1,090.98