Finding the Fourth Proportional to 152.69, 228.42 and 111.98

Step by Step Solution

1. Step 1: Write the proportion equation
   152.69 : 228.42 = 111.98 : x
2. Step 2: Convert to fraction form
   152.69/228.42 = 111.98/x
3. Step 3: Cross multiply
   152.69x = 228.42 × 111.98
4. Step 4: Simplify right side
   152.69x = 25,579.04
5. Step 5: Solve for x
   x = 25,579.04/152.69
6. Step 6: Final answer
   x = 167.53