Finding the Fourth Proportional to 31,786.04, 47,674.94 and 8,414.28

Step by Step Solution

1. Step 1: Write the proportion equation
   31,786.04 : 47,674.94 = 8,414.28 : x
2. Step 2: Convert to fraction form
   31,786.04/47,674.94 = 8,414.28/x
3. Step 3: Cross multiply
   31,786.04x = 47,674.94 × 8,414.28
4. Step 4: Simplify right side
   31,786.04x = 401,150,294.14
5. Step 5: Solve for x
   x = 401,150,294.14/31,786.04
6. Step 6: Final answer
   x = 12,620.33