Finding the Fourth Proportional to 111.67, 154.10 and 65.02

Step by Step Solution

1. Step 1: Write the proportion equation
   111.67 : 154.10 = 65.02 : x
2. Step 2: Convert to fraction form
   111.67/154.10 = 65.02/x
3. Step 3: Cross multiply
   111.67x = 154.10 × 65.02
4. Step 4: Simplify right side
   111.67x = 10,018.49
5. Step 5: Solve for x
   x = 10,018.49/111.67
6. Step 6: Final answer
   x = 89.72