Finding the Fourth Proportional to 105.88, 146.83 and 101.86

Step by Step Solution

1. Step 1: Write the proportion equation
   105.88 : 146.83 = 101.86 : x
2. Step 2: Convert to fraction form
   105.88/146.83 = 101.86/x
3. Step 3: Cross multiply
   105.88x = 146.83 × 101.86
4. Step 4: Simplify right side
   105.88x = 14,956.10
5. Step 5: Solve for x
   x = 14,956.10/105.88
6. Step 6: Final answer
   x = 141.26