Finding the Fourth Proportional to 10,678.72, 14,736.42 and 6,202.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.72 : 14,736.42 = 6,202.60 : x
2. Step 2: Convert to fraction form
   10,678.72/14,736.42 = 6,202.60/x
3. Step 3: Cross multiply
   10,678.72x = 14,736.42 × 6,202.60
4. Step 4: Simplify right side
   10,678.72x = 91,404,118.69
5. Step 5: Solve for x
   x = 91,404,118.69/10,678.72
6. Step 6: Final answer
   x = 8,559.46