Finding the Fourth Proportional to 105.31, 157.71 and 64.61

Step by Step Solution

1. Step 1: Write the proportion equation
   105.31 : 157.71 = 64.61 : x
2. Step 2: Convert to fraction form
   105.31/157.71 = 64.61/x
3. Step 3: Cross multiply
   105.31x = 157.71 × 64.61
4. Step 4: Simplify right side
   105.31x = 10,189.69
5. Step 5: Solve for x
   x = 10,189.69/105.31
6. Step 6: Final answer
   x = 96.76