Finding the Fourth Proportional to 105.22, 157.71 and 64.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105.22 : 157.71 = 64.56 : x
2. Step 2: Convert to fraction form
   105.22/157.71 = 64.56/x
3. Step 3: Cross multiply
   105.22x = 157.71 × 64.56
4. Step 4: Simplify right side
   105.22x = 10,181.76
5. Step 5: Solve for x
   x = 10,181.76/105.22
6. Step 6: Final answer
   x = 96.77