Finding the Fourth Proportional to 109.15, 164.74 and 105.34

Step by Step Solution

1. Step 1: Write the proportion equation
   109.15 : 164.74 = 105.34 : x
2. Step 2: Convert to fraction form
   109.15/164.74 = 105.34/x
3. Step 3: Cross multiply
   109.15x = 164.74 × 105.34
4. Step 4: Simplify right side
   109.15x = 17,353.71
5. Step 5: Solve for x
   x = 17,353.71/109.15
6. Step 6: Final answer
   x = 158.99