Finding the Fourth Proportional to 109.94, 164.73 and 105.72

Step by Step Solution

1. Step 1: Write the proportion equation
   109.94 : 164.73 = 105.72 : x
2. Step 2: Convert to fraction form
   109.94/164.73 = 105.72/x
3. Step 3: Cross multiply
   109.94x = 164.73 × 105.72
4. Step 4: Simplify right side
   109.94x = 17,415.64
5. Step 5: Solve for x
   x = 17,415.64/109.94
6. Step 6: Final answer
   x = 158.41