Finding the Fourth Proportional to 105.15, 157.71 and 64.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.15 : 157.71 = 64.82 : x
2. Step 2: Convert to fraction form
   105.15/157.71 = 64.82/x
3. Step 3: Cross multiply
   105.15x = 157.71 × 64.82
4. Step 4: Simplify right side
   105.15x = 10,222.51
5. Step 5: Solve for x
   x = 10,222.51/105.15
6. Step 6: Final answer
   x = 97.22