Finding the Fourth Proportional to 111.61, 152.81 and 111.23

Step by Step Solution

1. Step 1: Write the proportion equation
   111.61 : 152.81 = 111.23 : x
2. Step 2: Convert to fraction form
   111.61/152.81 = 111.23/x
3. Step 3: Cross multiply
   111.61x = 152.81 × 111.23
4. Step 4: Simplify right side
   111.61x = 16,997.06
5. Step 5: Solve for x
   x = 16,997.06/111.61
6. Step 6: Final answer
   x = 152.29