Finding the Fourth Proportional to 13,966.42, 19,273.69 and 7,678.80

Step by Step Solution

1. Step 1: Write the proportion equation
   13,966.42 : 19,273.69 = 7,678.80 : x
2. Step 2: Convert to fraction form
   13,966.42/19,273.69 = 7,678.80/x
3. Step 3: Cross multiply
   13,966.42x = 19,273.69 × 7,678.80
4. Step 4: Simplify right side
   13,966.42x = 147,998,704.90
5. Step 5: Solve for x
   x = 147,998,704.90/13,966.42
6. Step 6: Final answer
   x = 10,596.75