Finding the Fourth Proportional to 105.57, 159.23 and 105.57

Step by Step Solution

1. Step 1: Write the proportion equation
   105.57 : 159.23 = 105.57 : x
2. Step 2: Convert to fraction form
   105.57/159.23 = 105.57/x
3. Step 3: Cross multiply
   105.57x = 159.23 × 105.57
4. Step 4: Simplify right side
   105.57x = 16,810.18
5. Step 5: Solve for x
   x = 16,810.18/105.57
6. Step 6: Final answer
   x = 159.23