Finding the Fourth Proportional to 105.17, 157.77 and 32.05

Step by Step Solution

1. Step 1: Write the proportion equation
   105.17 : 157.77 = 32.05 : x
2. Step 2: Convert to fraction form
   105.17/157.77 = 32.05/x
3. Step 3: Cross multiply
   105.17x = 157.77 × 32.05
4. Step 4: Simplify right side
   105.17x = 5,056.82
5. Step 5: Solve for x
   x = 5,056.82/105.17
6. Step 6: Final answer
   x = 48.08