Finding the Fourth Proportional to 10,294.55, 14,206.53 and 5,578.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.55 : 14,206.53 = 5,578.82 : x
2. Step 2: Convert to fraction form
   10,294.55/14,206.53 = 5,578.82/x
3. Step 3: Cross multiply
   10,294.55x = 14,206.53 × 5,578.82
4. Step 4: Simplify right side
   10,294.55x = 79,255,673.69
5. Step 5: Solve for x
   x = 79,255,673.69/10,294.55
6. Step 6: Final answer
   x = 7,698.80