Finding the Fourth Proportional to 1,101.83, 1,520.78 and 728.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.83 : 1,520.78 = 728.82 : x
2. Step 2: Convert to fraction form
   1,101.83/1,520.78 = 728.82/x
3. Step 3: Cross multiply
   1,101.83x = 1,520.78 × 728.82
4. Step 4: Simplify right side
   1,101.83x = 1,108,371.24
5. Step 5: Solve for x
   x = 1,108,371.24/1,101.83
6. Step 6: Final answer
   x = 1,005.94