Finding the Fourth Proportional to 14,068.14, 19,414.62 and 7,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,068.14 : 19,414.62 = 7,780.50 : x
2. Step 2: Convert to fraction form
   14,068.14/19,414.62 = 7,780.50/x
3. Step 3: Cross multiply
   14,068.14x = 19,414.62 × 7,780.50
4. Step 4: Simplify right side
   14,068.14x = 151,055,450.91
5. Step 5: Solve for x
   x = 151,055,450.91/14,068.14
6. Step 6: Final answer
   x = 10,737.41