Finding the Fourth Proportional to 1,016.47, 1,523.49 and 665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.47 : 1,523.49 = 665.25 : x
2. Step 2: Convert to fraction form
   1,016.47/1,523.49 = 665.25/x
3. Step 3: Cross multiply
   1,016.47x = 1,523.49 × 665.25
4. Step 4: Simplify right side
   1,016.47x = 1,013,493.51
5. Step 5: Solve for x
   x = 1,013,493.51/1,016.47
6. Step 6: Final answer
   x = 997.07