Finding the Fourth Proportional to 10,294.38, 14,206.31 and 5,578.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.38 : 14,206.31 = 5,578.69 : x
2. Step 2: Convert to fraction form
   10,294.38/14,206.31 = 5,578.69/x
3. Step 3: Cross multiply
   10,294.38x = 14,206.31 × 5,578.69
4. Step 4: Simplify right side
   10,294.38x = 79,252,599.53
5. Step 5: Solve for x
   x = 79,252,599.53/10,294.38
6. Step 6: Final answer
   x = 7,698.63