Finding the Fourth Proportional to 109.72, 164.24 and 83.96

Step by Step Solution

1. Step 1: Write the proportion equation
   109.72 : 164.24 = 83.96 : x
2. Step 2: Convert to fraction form
   109.72/164.24 = 83.96/x
3. Step 3: Cross multiply
   109.72x = 164.24 × 83.96
4. Step 4: Simplify right side
   109.72x = 13,788.35
5. Step 5: Solve for x
   x = 13,788.35/109.72
6. Step 6: Final answer
   x = 125.67