Finding the Fourth Proportional to 105.74, 145.83 and 68.86

Step by Step Solution

1. Step 1: Write the proportion equation
   105.74 : 145.83 = 68.86 : x
2. Step 2: Convert to fraction form
   105.74/145.83 = 68.86/x
3. Step 3: Cross multiply
   105.74x = 145.83 × 68.86
4. Step 4: Simplify right side
   105.74x = 10,041.78
5. Step 5: Solve for x
   x = 10,041.78/105.74
6. Step 6: Final answer
   x = 94.96