Finding the Fourth Proportional to 92.55, 138.83 and 28.42

Step by Step Solution

1. Step 1: Write the proportion equation
   92.55 : 138.83 = 28.42 : x
2. Step 2: Convert to fraction form
   92.55/138.83 = 28.42/x
3. Step 3: Cross multiply
   92.55x = 138.83 × 28.42
4. Step 4: Simplify right side
   92.55x = 3,945.55
5. Step 5: Solve for x
   x = 3,945.55/92.55
6. Step 6: Final answer
   x = 42.63