Finding the Fourth Proportional to 14,106.76, 19,468 and 7,819.14

Step by Step Solution

1. Step 1: Write the proportion equation
   14,106.76 : 19,468 = 7,819.14 : x
2. Step 2: Convert to fraction form
   14,106.76/19,468 = 7,819.14/x
3. Step 3: Cross multiply
   14,106.76x = 19,468 × 7,819.14
4. Step 4: Simplify right side
   14,106.76x = 152,223,017.52
5. Step 5: Solve for x
   x = 152,223,017.52/14,106.76
6. Step 6: Final answer
   x = 10,790.79