Finding the Fourth Proportional to 123.68, 185.34 and 75.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123.68 : 185.34 = 75.50 : x
2. Step 2: Convert to fraction form
   123.68/185.34 = 75.50/x
3. Step 3: Cross multiply
   123.68x = 185.34 × 75.50
4. Step 4: Simplify right side
   123.68x = 13,993.17
5. Step 5: Solve for x
   x = 13,993.17/123.68
6. Step 6: Final answer
   x = 113.14