Finding the Fourth Proportional to 109.86, 164.67 and 82.73

Step by Step Solution

1. Step 1: Write the proportion equation
   109.86 : 164.67 = 82.73 : x
2. Step 2: Convert to fraction form
   109.86/164.67 = 82.73/x
3. Step 3: Cross multiply
   109.86x = 164.67 × 82.73
4. Step 4: Simplify right side
   109.86x = 13,622.33
5. Step 5: Solve for x
   x = 13,622.33/109.86
6. Step 6: Final answer
   x = 124.00