Finding the Fourth Proportional to 105.86, 146.10 and 68.51

Step by Step Solution

1. Step 1: Write the proportion equation
   105.86 : 146.10 = 68.51 : x
2. Step 2: Convert to fraction form
   105.86/146.10 = 68.51/x
3. Step 3: Cross multiply
   105.86x = 146.10 × 68.51
4. Step 4: Simplify right side
   105.86x = 10,009.93
5. Step 5: Solve for x
   x = 10,009.93/105.86
6. Step 6: Final answer
   x = 94.56