Finding the Fourth Proportional to 111.53, 153.77 and 82.37

Step by Step Solution

1. Step 1: Write the proportion equation
   111.53 : 153.77 = 82.37 : x
2. Step 2: Convert to fraction form
   111.53/153.77 = 82.37/x
3. Step 3: Cross multiply
   111.53x = 153.77 × 82.37
4. Step 4: Simplify right side
   111.53x = 12,666.03
5. Step 5: Solve for x
   x = 12,666.03/111.53
6. Step 6: Final answer
   x = 113.57