Finding the Fourth Proportional to 31,786.72, 47,682.42 and 8,413

Step by Step Solution

1. Step 1: Write the proportion equation
   31,786.72 : 47,682.42 = 8,413 : x
2. Step 2: Convert to fraction form
   31,786.72/47,682.42 = 8,413/x
3. Step 3: Cross multiply
   31,786.72x = 47,682.42 × 8,413
4. Step 4: Simplify right side
   31,786.72x = 401,152,199.46
5. Step 5: Solve for x
   x = 401,152,199.46/31,786.72
6. Step 6: Final answer
   x = 12,620.12