Finding the Fourth Proportional to 1,016.36, 1,524.29 and 496.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.36 : 1,524.29 = 496.09 : x
2. Step 2: Convert to fraction form
   1,016.36/1,524.29 = 496.09/x
3. Step 3: Cross multiply
   1,016.36x = 1,524.29 × 496.09
4. Step 4: Simplify right side
   1,016.36x = 756,185.03
5. Step 5: Solve for x
   x = 756,185.03/1,016.36
6. Step 6: Final answer
   x = 744.01