Finding the Fourth Proportional to 31,814.82, 47,722.68 and 8,441.10

Step by Step Solution

1. Step 1: Write the proportion equation
   31,814.82 : 47,722.68 = 8,441.10 : x
2. Step 2: Convert to fraction form
   31,814.82/47,722.68 = 8,441.10/x
3. Step 3: Cross multiply
   31,814.82x = 47,722.68 × 8,441.10
4. Step 4: Simplify right side
   31,814.82x = 402,831,914.15
5. Step 5: Solve for x
   x = 402,831,914.15/31,814.82
6. Step 6: Final answer
   x = 12,661.77