Finding the Fourth Proportional to 1,016.52, 1,525.05 and 496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.52 : 1,525.05 = 496.50 : x
2. Step 2: Convert to fraction form
   1,016.52/1,525.05 = 496.50/x
3. Step 3: Cross multiply
   1,016.52x = 1,525.05 × 496.50
4. Step 4: Simplify right side
   1,016.52x = 757,177.22
5. Step 5: Solve for x
   x = 757,177.22/1,016.52
6. Step 6: Final answer
   x = 744.88