Finding the Fourth Proportional to 14,404.50, 19,878.21 and 7,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,404.50 : 19,878.21 = 7,780.50 : x
2. Step 2: Convert to fraction form
   14,404.50/19,878.21 = 7,780.50/x
3. Step 3: Cross multiply
   14,404.50x = 19,878.21 × 7,780.50
4. Step 4: Simplify right side
   14,404.50x = 154,662,412.91
5. Step 5: Solve for x
   x = 154,662,412.91/14,404.50
6. Step 6: Final answer
   x = 10,737.09