Finding the Fourth Proportional to 109.89, 164.69 and 82.82

Step by Step Solution

1. Step 1: Write the proportion equation
   109.89 : 164.69 = 82.82 : x
2. Step 2: Convert to fraction form
   109.89/164.69 = 82.82/x
3. Step 3: Cross multiply
   109.89x = 164.69 × 82.82
4. Step 4: Simplify right side
   109.89x = 13,638.39
5. Step 5: Solve for x
   x = 13,638.39/109.89
6. Step 6: Final answer
   x = 124.11