Finding the Fourth Proportional to 105.32, 157.86 and 64.62

Step by Step Solution

1. Step 1: Write the proportion equation
   105.32 : 157.86 = 64.62 : x
2. Step 2: Convert to fraction form
   105.32/157.86 = 64.62/x
3. Step 3: Cross multiply
   105.32x = 157.86 × 64.62
4. Step 4: Simplify right side
   105.32x = 10,200.91
5. Step 5: Solve for x
   x = 10,200.91/105.32
6. Step 6: Final answer
   x = 96.86