Finding the Fourth Proportional to 1,105.56, 1,524.60 and 712.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.56 : 1,524.60 = 712.80 : x
2. Step 2: Convert to fraction form
   1,105.56/1,524.60 = 712.80/x
3. Step 3: Cross multiply
   1,105.56x = 1,524.60 × 712.80
4. Step 4: Simplify right side
   1,105.56x = 1,086,734.88
5. Step 5: Solve for x
   x = 1,086,734.88/1,105.56
6. Step 6: Final answer
   x = 982.97