Finding the Fourth Proportional to 89.82, 124.02 and 82.53

Step by Step Solution

1. Step 1: Write the proportion equation
   89.82 : 124.02 = 82.53 : x
2. Step 2: Convert to fraction form
   89.82/124.02 = 82.53/x
3. Step 3: Cross multiply
   89.82x = 124.02 × 82.53
4. Step 4: Simplify right side
   89.82x = 10,235.37
5. Step 5: Solve for x
   x = 10,235.37/89.82
6. Step 6: Final answer
   x = 113.95