Finding the Fourth Proportional to 99.50, 149.24 and 38.68

Step by Step Solution

1. Step 1: Write the proportion equation
   99.50 : 149.24 = 38.68 : x
2. Step 2: Convert to fraction form
   99.50/149.24 = 38.68/x
3. Step 3: Cross multiply
   99.50x = 149.24 × 38.68
4. Step 4: Simplify right side
   99.50x = 5,772.33
5. Step 5: Solve for x
   x = 5,772.33/99.50
6. Step 6: Final answer
   x = 58.02