Finding the Fourth Proportional to 105.83, 145.86 and 83.36

Step by Step Solution

1. Step 1: Write the proportion equation
   105.83 : 145.86 = 83.36 : x
2. Step 2: Convert to fraction form
   105.83/145.86 = 83.36/x
3. Step 3: Cross multiply
   105.83x = 145.86 × 83.36
4. Step 4: Simplify right side
   105.83x = 12,158.16
5. Step 5: Solve for x
   x = 12,158.16/105.83
6. Step 6: Final answer
   x = 114.89