Finding the Fourth Proportional to 105.86, 158.61 and 101.86

Step by Step Solution

1. Step 1: Write the proportion equation
   105.86 : 158.61 = 101.86 : x
2. Step 2: Convert to fraction form
   105.86/158.61 = 101.86/x
3. Step 3: Cross multiply
   105.86x = 158.61 × 101.86
4. Step 4: Simplify right side
   105.86x = 16,155.22
5. Step 5: Solve for x
   x = 16,155.22/105.86
6. Step 6: Final answer
   x = 152.62