Finding the Fourth Proportional to 85.82, 127.71 and 82.34

Step by Step Solution

1. Step 1: Write the proportion equation
   85.82 : 127.71 = 82.34 : x
2. Step 2: Convert to fraction form
   85.82/127.71 = 82.34/x
3. Step 3: Cross multiply
   85.82x = 127.71 × 82.34
4. Step 4: Simplify right side
   85.82x = 10,515.23
5. Step 5: Solve for x
   x = 10,515.23/85.82
6. Step 6: Final answer
   x = 122.53