Finding the Fourth Proportional to 1,020.88, 1,530.76 and 500.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.88 : 1,530.76 = 500.72 : x
2. Step 2: Convert to fraction form
   1,020.88/1,530.76 = 500.72/x
3. Step 3: Cross multiply
   1,020.88x = 1,530.76 × 500.72
4. Step 4: Simplify right side
   1,020.88x = 766,482.15
5. Step 5: Solve for x
   x = 766,482.15/1,020.88
6. Step 6: Final answer
   x = 750.81