Finding the Fourth Proportional to 31,784.72, 47,679.42 and 8,411

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784.72 : 47,679.42 = 8,411 : x
2. Step 2: Convert to fraction form
   31,784.72/47,679.42 = 8,411/x
3. Step 3: Cross multiply
   31,784.72x = 47,679.42 × 8,411
4. Step 4: Simplify right side
   31,784.72x = 401,031,601.62
5. Step 5: Solve for x
   x = 401,031,601.62/31,784.72
6. Step 6: Final answer
   x = 12,617.12