Finding the Fourth Proportional to 12,974.50, 19,464.18 and 4,208.27

Step by Step Solution

1. Step 1: Write the proportion equation
   12,974.50 : 19,464.18 = 4,208.27 : x
2. Step 2: Convert to fraction form
   12,974.50/19,464.18 = 4,208.27/x
3. Step 3: Cross multiply
   12,974.50x = 19,464.18 × 4,208.27
4. Step 4: Simplify right side
   12,974.50x = 81,910,503.73
5. Step 5: Solve for x
   x = 81,910,503.73/12,974.50
6. Step 6: Final answer
   x = 6,313.19