Finding the Fourth Proportional to 1,028.72, 1,542.98 and 535.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.72 : 1,542.98 = 535.10 : x
2. Step 2: Convert to fraction form
   1,028.72/1,542.98 = 535.10/x
3. Step 3: Cross multiply
   1,028.72x = 1,542.98 × 535.10
4. Step 4: Simplify right side
   1,028.72x = 825,648.60
5. Step 5: Solve for x
   x = 825,648.60/1,028.72
6. Step 6: Final answer
   x = 802.60