Finding the Fourth Proportional to 31,414, 47,142.60 and 12,946

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414 : 47,142.60 = 12,946 : x
2. Step 2: Convert to fraction form
   31,414/47,142.60 = 12,946/x
3. Step 3: Cross multiply
   31,414x = 47,142.60 × 12,946
4. Step 4: Simplify right side
   31,414x = 610,308,099.60
5. Step 5: Solve for x
   x = 610,308,099.60/31,414
6. Step 6: Final answer
   x = 19,427.90