Finding the Fourth Proportional to 1,105.14, 1,524.24 and 712.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.14 : 1,524.24 = 712.20 : x
2. Step 2: Convert to fraction form
   1,105.14/1,524.24 = 712.20/x
3. Step 3: Cross multiply
   1,105.14x = 1,524.24 × 712.20
4. Step 4: Simplify right side
   1,105.14x = 1,085,563.73
5. Step 5: Solve for x
   x = 1,085,563.73/1,105.14
6. Step 6: Final answer
   x = 982.29