Finding the Fourth Proportional to 105.52, 157.61 and 82.72

Step by Step Solution

1. Step 1: Write the proportion equation
   105.52 : 157.61 = 82.72 : x
2. Step 2: Convert to fraction form
   105.52/157.61 = 82.72/x
3. Step 3: Cross multiply
   105.52x = 157.61 × 82.72
4. Step 4: Simplify right side
   105.52x = 13,037.50
5. Step 5: Solve for x
   x = 13,037.50/105.52
6. Step 6: Final answer
   x = 123.55