Finding the Fourth Proportional to 14,109.75, 19,471.59 and 7,822.26

Step by Step Solution

1. Step 1: Write the proportion equation
   14,109.75 : 19,471.59 = 7,822.26 : x
2. Step 2: Convert to fraction form
   14,109.75/19,471.59 = 7,822.26/x
3. Step 3: Cross multiply
   14,109.75x = 19,471.59 × 7,822.26
4. Step 4: Simplify right side
   14,109.75x = 152,311,839.59
5. Step 5: Solve for x
   x = 152,311,839.59/14,109.75
6. Step 6: Final answer
   x = 10,794.79