Finding the Fourth Proportional to 109.30, 164.22 and 105.22

Step by Step Solution

1. Step 1: Write the proportion equation
   109.30 : 164.22 = 105.22 : x
2. Step 2: Convert to fraction form
   109.30/164.22 = 105.22/x
3. Step 3: Cross multiply
   109.30x = 164.22 × 105.22
4. Step 4: Simplify right side
   109.30x = 17,279.23
5. Step 5: Solve for x
   x = 17,279.23/109.30
6. Step 6: Final answer
   x = 158.09