Finding the Fourth Proportional to 1,016.37, 1,525.23 and 496.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.37 : 1,525.23 = 496.62 : x
2. Step 2: Convert to fraction form
   1,016.37/1,525.23 = 496.62/x
3. Step 3: Cross multiply
   1,016.37x = 1,525.23 × 496.62
4. Step 4: Simplify right side
   1,016.37x = 757,459.72
5. Step 5: Solve for x
   x = 757,459.72/1,016.37
6. Step 6: Final answer
   x = 745.26