Finding the Fourth Proportional to 109.91, 164.86 and 64.22

Step by Step Solution

1. Step 1: Write the proportion equation
   109.91 : 164.86 = 64.22 : x
2. Step 2: Convert to fraction form
   109.91/164.86 = 64.22/x
3. Step 3: Cross multiply
   109.91x = 164.86 × 64.22
4. Step 4: Simplify right side
   109.91x = 10,587.31
5. Step 5: Solve for x
   x = 10,587.31/109.91
6. Step 6: Final answer
   x = 96.33