Finding the Fourth Proportional to 123.50, 185.14 and 100.62

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 185.14 = 100.62 : x
2. Step 2: Convert to fraction form
   123.50/185.14 = 100.62/x
3. Step 3: Cross multiply
   123.50x = 185.14 × 100.62
4. Step 4: Simplify right side
   123.50x = 18,628.79
5. Step 5: Solve for x
   x = 18,628.79/123.50
6. Step 6: Final answer
   x = 150.84