Finding the Fourth Proportional to 865.86, 1,297.59 and 682.42

Step by Step Solution

1. Step 1: Write the proportion equation
   865.86 : 1,297.59 = 682.42 : x
2. Step 2: Convert to fraction form
   865.86/1,297.59 = 682.42/x
3. Step 3: Cross multiply
   865.86x = 1,297.59 × 682.42
4. Step 4: Simplify right side
   865.86x = 885,501.37
5. Step 5: Solve for x
   x = 885,501.37/865.86
6. Step 6: Final answer
   x = 1,022.68