Finding the Fourth Proportional to 10,294.35, 14,206.22 and 5,578.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.35 : 14,206.22 = 5,578.59 : x
2. Step 2: Convert to fraction form
   10,294.35/14,206.22 = 5,578.59/x
3. Step 3: Cross multiply
   10,294.35x = 14,206.22 × 5,578.59
4. Step 4: Simplify right side
   10,294.35x = 79,250,648.94
5. Step 5: Solve for x
   x = 79,250,648.94/10,294.35
6. Step 6: Final answer
   x = 7,698.46