Finding the Fourth Proportional to 1,020.96, 1,530.78 and 500.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.96 : 1,530.78 = 500.82 : x
2. Step 2: Convert to fraction form
   1,020.96/1,530.78 = 500.82/x
3. Step 3: Cross multiply
   1,020.96x = 1,530.78 × 500.82
4. Step 4: Simplify right side
   1,020.96x = 766,645.24
5. Step 5: Solve for x
   x = 766,645.24/1,020.96
6. Step 6: Final answer
   x = 750.91