Finding the Fourth Proportional to 123.76, 185.20 and 91.52

Step by Step Solution

1. Step 1: Write the proportion equation
   123.76 : 185.20 = 91.52 : x
2. Step 2: Convert to fraction form
   123.76/185.20 = 91.52/x
3. Step 3: Cross multiply
   123.76x = 185.20 × 91.52
4. Step 4: Simplify right side
   123.76x = 16,949.50
5. Step 5: Solve for x
   x = 16,949.50/123.76
6. Step 6: Final answer
   x = 136.95