Finding the Fourth Proportional to 31,819.53, 47,711 and 13,112.48

Step by Step Solution

1. Step 1: Write the proportion equation
   31,819.53 : 47,711 = 13,112.48 : x
2. Step 2: Convert to fraction form
   31,819.53/47,711 = 13,112.48/x
3. Step 3: Cross multiply
   31,819.53x = 47,711 × 13,112.48
4. Step 4: Simplify right side
   31,819.53x = 625,609,294.73
5. Step 5: Solve for x
   x = 625,609,294.73/31,819.53
6. Step 6: Final answer
   x = 19,661.17