Finding the Fourth Proportional to 1,105.09, 1,524.36 and 711.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.09 : 1,524.36 = 711.97 : x
2. Step 2: Convert to fraction form
   1,105.09/1,524.36 = 711.97/x
3. Step 3: Cross multiply
   1,105.09x = 1,524.36 × 711.97
4. Step 4: Simplify right side
   1,105.09x = 1,085,298.59
5. Step 5: Solve for x
   x = 1,085,298.59/1,105.09
6. Step 6: Final answer
   x = 982.09