Finding the Fourth Proportional to 109.81, 164.72 and 82.41

Step by Step Solution

1. Step 1: Write the proportion equation
   109.81 : 164.72 = 82.41 : x
2. Step 2: Convert to fraction form
   109.81/164.72 = 82.41/x
3. Step 3: Cross multiply
   109.81x = 164.72 × 82.41
4. Step 4: Simplify right side
   109.81x = 13,574.58
5. Step 5: Solve for x
   x = 13,574.58/109.81
6. Step 6: Final answer
   x = 123.62