Finding the Fourth Proportional to 109.82, 152.36 and 105.86

Step by Step Solution

1. Step 1: Write the proportion equation
   109.82 : 152.36 = 105.86 : x
2. Step 2: Convert to fraction form
   109.82/152.36 = 105.86/x
3. Step 3: Cross multiply
   109.82x = 152.36 × 105.86
4. Step 4: Simplify right side
   109.82x = 16,128.83
5. Step 5: Solve for x
   x = 16,128.83/109.82
6. Step 6: Final answer
   x = 146.87