Finding the Fourth Proportional to 14,109.69, 19,471.26 and 7,822.05

Step by Step Solution

1. Step 1: Write the proportion equation
   14,109.69 : 19,471.26 = 7,822.05 : x
2. Step 2: Convert to fraction form
   14,109.69/19,471.26 = 7,822.05/x
3. Step 3: Cross multiply
   14,109.69x = 19,471.26 × 7,822.05
4. Step 4: Simplify right side
   14,109.69x = 152,305,169.28
5. Step 5: Solve for x
   x = 152,305,169.28/14,109.69
6. Step 6: Final answer
   x = 10,794.37