Finding the Fourth Proportional to 109.79, 164.71 and 64.18

Step by Step Solution

1. Step 1: Write the proportion equation
   109.79 : 164.71 = 64.18 : x
2. Step 2: Convert to fraction form
   109.79/164.71 = 64.18/x
3. Step 3: Cross multiply
   109.79x = 164.71 × 64.18
4. Step 4: Simplify right side
   109.79x = 10,571.09
5. Step 5: Solve for x
   x = 10,571.09/109.79
6. Step 6: Final answer
   x = 96.28