Finding the Fourth Proportional to 109.89, 164.88 and 64.24

Step by Step Solution

1. Step 1: Write the proportion equation
   109.89 : 164.88 = 64.24 : x
2. Step 2: Convert to fraction form
   109.89/164.88 = 64.24/x
3. Step 3: Cross multiply
   109.89x = 164.88 × 64.24
4. Step 4: Simplify right side
   109.89x = 10,591.48
5. Step 5: Solve for x
   x = 10,591.48/109.89
6. Step 6: Final answer
   x = 96.38