Finding the Fourth Proportional to 109.72, 164.56 and 105.24

Step by Step Solution

1. Step 1: Write the proportion equation
   109.72 : 164.56 = 105.24 : x
2. Step 2: Convert to fraction form
   109.72/164.56 = 105.24/x
3. Step 3: Cross multiply
   109.72x = 164.56 × 105.24
4. Step 4: Simplify right side
   109.72x = 17,318.29
5. Step 5: Solve for x
   x = 17,318.29/109.72
6. Step 6: Final answer
   x = 157.84