Finding the Fourth Proportional to 1,105.65, 1,524.78 and 727.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.65 : 1,524.78 = 727.38 : x
2. Step 2: Convert to fraction form
   1,105.65/1,524.78 = 727.38/x
3. Step 3: Cross multiply
   1,105.65x = 1,524.78 × 727.38
4. Step 4: Simplify right side
   1,105.65x = 1,109,094.48
5. Step 5: Solve for x
   x = 1,109,094.48/1,105.65
6. Step 6: Final answer
   x = 1,003.12