Finding the Fourth Proportional to 105.92, 159.83 and 102.10

Step by Step Solution

1. Step 1: Write the proportion equation
   105.92 : 159.83 = 102.10 : x
2. Step 2: Convert to fraction form
   105.92/159.83 = 102.10/x
3. Step 3: Cross multiply
   105.92x = 159.83 × 102.10
4. Step 4: Simplify right side
   105.92x = 16,317.73
5. Step 5: Solve for x
   x = 16,317.73/105.92
6. Step 6: Final answer
   x = 154.06