Finding the Fourth Proportional to 1,020.72, 1,530.32 and 500.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.72 : 1,530.32 = 500.56 : x
2. Step 2: Convert to fraction form
   1,020.72/1,530.32 = 500.56/x
3. Step 3: Cross multiply
   1,020.72x = 1,530.32 × 500.56
4. Step 4: Simplify right side
   1,020.72x = 766,016.98
5. Step 5: Solve for x
   x = 766,016.98/1,020.72
6. Step 6: Final answer
   x = 750.47