Finding the Fourth Proportional to 146.47, 201.86 and 111.42

Step by Step Solution

1. Step 1: Write the proportion equation
   146.47 : 201.86 = 111.42 : x
2. Step 2: Convert to fraction form
   146.47/201.86 = 111.42/x
3. Step 3: Cross multiply
   146.47x = 201.86 × 111.42
4. Step 4: Simplify right side
   146.47x = 22,491.52
5. Step 5: Solve for x
   x = 22,491.52/146.47
6. Step 6: Final answer
   x = 153.56