Finding the Fourth Proportional to 14,405.50, 19,879.59 and 7,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,405.50 : 19,879.59 = 7,781.50 : x
2. Step 2: Convert to fraction form
   14,405.50/19,879.59 = 7,781.50/x
3. Step 3: Cross multiply
   14,405.50x = 19,879.59 × 7,781.50
4. Step 4: Simplify right side
   14,405.50x = 154,693,029.59
5. Step 5: Solve for x
   x = 154,693,029.59/14,405.50
6. Step 6: Final answer
   x = 10,738.47