Finding the Fourth Proportional to 1,022.52, 1,534.56 and 535.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.52 : 1,534.56 = 535.72 : x
2. Step 2: Convert to fraction form
   1,022.52/1,534.56 = 535.72/x
3. Step 3: Cross multiply
   1,022.52x = 1,534.56 × 535.72
4. Step 4: Simplify right side
   1,022.52x = 822,094.48
5. Step 5: Solve for x
   x = 822,094.48/1,022.52
6. Step 6: Final answer
   x = 803.99