Finding the Fourth Proportional to 123.76, 185.18 and 72.42

Step by Step Solution

1. Step 1: Write the proportion equation
   123.76 : 185.18 = 72.42 : x
2. Step 2: Convert to fraction form
   123.76/185.18 = 72.42/x
3. Step 3: Cross multiply
   123.76x = 185.18 × 72.42
4. Step 4: Simplify right side
   123.76x = 13,410.37
5. Step 5: Solve for x
   x = 13,410.37/123.76
6. Step 6: Final answer
   x = 108.36