Finding the Fourth Proportional to 112.34, 167.69 and 105.22

Step by Step Solution

1. Step 1: Write the proportion equation
   112.34 : 167.69 = 105.22 : x
2. Step 2: Convert to fraction form
   112.34/167.69 = 105.22/x
3. Step 3: Cross multiply
   112.34x = 167.69 × 105.22
4. Step 4: Simplify right side
   112.34x = 17,644.34
5. Step 5: Solve for x
   x = 17,644.34/112.34
6. Step 6: Final answer
   x = 157.06