Finding the Fourth Proportional to 14,106.38, 19,468.22 and 7,819.97

Step by Step Solution

1. Step 1: Write the proportion equation
   14,106.38 : 19,468.22 = 7,819.97 : x
2. Step 2: Convert to fraction form
   14,106.38/19,468.22 = 7,819.97/x
3. Step 3: Cross multiply
   14,106.38x = 19,468.22 × 7,819.97
4. Step 4: Simplify right side
   14,106.38x = 152,240,759.91
5. Step 5: Solve for x
   x = 152,240,759.91/14,106.38
6. Step 6: Final answer
   x = 10,792.34