Finding the Fourth Proportional to 1,020.52, 1,531.56 and 533.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.52 : 1,531.56 = 533.72 : x
2. Step 2: Convert to fraction form
   1,020.52/1,531.56 = 533.72/x
3. Step 3: Cross multiply
   1,020.52x = 1,531.56 × 533.72
4. Step 4: Simplify right side
   1,020.52x = 817,424.20
5. Step 5: Solve for x
   x = 817,424.20/1,020.52
6. Step 6: Final answer
   x = 800.99