Finding the Fourth Proportional to 123.86, 185.82 and 72.55

Step by Step Solution

1. Step 1: Write the proportion equation
   123.86 : 185.82 = 72.55 : x
2. Step 2: Convert to fraction form
   123.86/185.82 = 72.55/x
3. Step 3: Cross multiply
   123.86x = 185.82 × 72.55
4. Step 4: Simplify right side
   123.86x = 13,481.24
5. Step 5: Solve for x
   x = 13,481.24/123.86
6. Step 6: Final answer
   x = 108.84