Finding the Fourth Proportional to 105.84, 145.71 and 82.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.84 : 145.71 = 82.50 : x
2. Step 2: Convert to fraction form
   105.84/145.71 = 82.50/x
3. Step 3: Cross multiply
   105.84x = 145.71 × 82.50
4. Step 4: Simplify right side
   105.84x = 12,021.08
5. Step 5: Solve for x
   x = 12,021.08/105.84
6. Step 6: Final answer
   x = 113.58