Finding the Fourth Proportional to 83.82, 116.24 and 75.72

Step by Step Solution

1. Step 1: Write the proportion equation
   83.82 : 116.24 = 75.72 : x
2. Step 2: Convert to fraction form
   83.82/116.24 = 75.72/x
3. Step 3: Cross multiply
   83.82x = 116.24 × 75.72
4. Step 4: Simplify right side
   83.82x = 8,801.88
5. Step 5: Solve for x
   x = 8,801.88/83.82
6. Step 6: Final answer
   x = 105.01