Finding the Fourth Proportional to 105.88, 146.22 and 100.15

Step by Step Solution

1. Step 1: Write the proportion equation
   105.88 : 146.22 = 100.15 : x
2. Step 2: Convert to fraction form
   105.88/146.22 = 100.15/x
3. Step 3: Cross multiply
   105.88x = 146.22 × 100.15
4. Step 4: Simplify right side
   105.88x = 14,643.54
5. Step 5: Solve for x
   x = 14,643.54/105.88
6. Step 6: Final answer
   x = 138.30