Finding the Fourth Proportional to 31,784.34, 47,678.79 and 8,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784.34 : 47,678.79 = 8,410.50 : x
2. Step 2: Convert to fraction form
   31,784.34/47,678.79 = 8,410.50/x
3. Step 3: Cross multiply
   31,784.34x = 47,678.79 × 8,410.50
4. Step 4: Simplify right side
   31,784.34x = 401,002,463.30
5. Step 5: Solve for x
   x = 401,002,463.30/31,784.34
6. Step 6: Final answer
   x = 12,616.35