Finding the Fourth Proportional to 109.61, 164.17 and 82.22

Step by Step Solution

1. Step 1: Write the proportion equation
   109.61 : 164.17 = 82.22 : x
2. Step 2: Convert to fraction form
   109.61/164.17 = 82.22/x
3. Step 3: Cross multiply
   109.61x = 164.17 × 82.22
4. Step 4: Simplify right side
   109.61x = 13,498.06
5. Step 5: Solve for x
   x = 13,498.06/109.61
6. Step 6: Final answer
   x = 123.15