Finding the Fourth Proportional to 111.07, 166.56 and 42.53

Step by Step Solution

1. Step 1: Write the proportion equation
   111.07 : 166.56 = 42.53 : x
2. Step 2: Convert to fraction form
   111.07/166.56 = 42.53/x
3. Step 3: Cross multiply
   111.07x = 166.56 × 42.53
4. Step 4: Simplify right side
   111.07x = 7,082.80
5. Step 5: Solve for x
   x = 7,082.80/111.07
6. Step 6: Final answer
   x = 63.77