Finding the Fourth Proportional to 105.72, 157.72 and 100.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.72 : 157.72 = 100.82 : x
2. Step 2: Convert to fraction form
   105.72/157.72 = 100.82/x
3. Step 3: Cross multiply
   105.72x = 157.72 × 100.82
4. Step 4: Simplify right side
   105.72x = 15,901.33
5. Step 5: Solve for x
   x = 15,901.33/105.72
6. Step 6: Final answer
   x = 150.41