Finding the Fourth Proportional to 1,016.92, 1,524.15 and 727.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.92 : 1,524.15 = 727.75 : x
2. Step 2: Convert to fraction form
   1,016.92/1,524.15 = 727.75/x
3. Step 3: Cross multiply
   1,016.92x = 1,524.15 × 727.75
4. Step 4: Simplify right side
   1,016.92x = 1,109,200.16
5. Step 5: Solve for x
   x = 1,109,200.16/1,016.92
6. Step 6: Final answer
   x = 1,090.74