Finding the Fourth Proportional to 1,823.94, 2,734.83 and 728.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.94 : 2,734.83 = 728.82 : x
2. Step 2: Convert to fraction form
   1,823.94/2,734.83 = 728.82/x
3. Step 3: Cross multiply
   1,823.94x = 2,734.83 × 728.82
4. Step 4: Simplify right side
   1,823.94x = 1,993,198.80
5. Step 5: Solve for x
   x = 1,993,198.80/1,823.94
6. Step 6: Final answer
   x = 1,092.80