Finding the Fourth Proportional to 30,391.14, 45,586.72 and 8,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,391.14 : 45,586.72 = 8,204.50 : x
2. Step 2: Convert to fraction form
   30,391.14/45,586.72 = 8,204.50/x
3. Step 3: Cross multiply
   30,391.14x = 45,586.72 × 8,204.50
4. Step 4: Simplify right side
   30,391.14x = 374,016,016.31
5. Step 5: Solve for x
   x = 374,016,016.31/30,391.14
6. Step 6: Final answer
   x = 12,306.75