Finding the Fourth Proportional to 105.74, 145.98 and 70.83

Step by Step Solution

1. Step 1: Write the proportion equation
   105.74 : 145.98 = 70.83 : x
2. Step 2: Convert to fraction form
   105.74/145.98 = 70.83/x
3. Step 3: Cross multiply
   105.74x = 145.98 × 70.83
4. Step 4: Simplify right side
   105.74x = 10,339.76
5. Step 5: Solve for x
   x = 10,339.76/105.74
6. Step 6: Final answer
   x = 97.78