Finding the Fourth Proportional to 109.50, 164.31 and 63.82

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 164.31 = 63.82 : x
2. Step 2: Convert to fraction form
   109.50/164.31 = 63.82/x
3. Step 3: Cross multiply
   109.50x = 164.31 × 63.82
4. Step 4: Simplify right side
   109.50x = 10,486.26
5. Step 5: Solve for x
   x = 10,486.26/109.50
6. Step 6: Final answer
   x = 95.76