Finding the Fourth Proportional to 10,294.47, 14,206.43 and 5,578.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.47 : 14,206.43 = 5,578.74 : x
2. Step 2: Convert to fraction form
   10,294.47/14,206.43 = 5,578.74/x
3. Step 3: Cross multiply
   10,294.47x = 14,206.43 × 5,578.74
4. Step 4: Simplify right side
   10,294.47x = 79,253,951.40
5. Step 5: Solve for x
   x = 79,253,951.40/10,294.47
6. Step 6: Final answer
   x = 7,698.69