Finding the Fourth Proportional to 1,024.57, 1,536.72 and 852.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.57 : 1,536.72 = 852.31 : x
2. Step 2: Convert to fraction form
   1,024.57/1,536.72 = 852.31/x
3. Step 3: Cross multiply
   1,024.57x = 1,536.72 × 852.31
4. Step 4: Simplify right side
   1,024.57x = 1,309,761.82
5. Step 5: Solve for x
   x = 1,309,761.82/1,024.57
6. Step 6: Final answer
   x = 1,278.35