Finding the Fourth Proportional to 10,294.27, 14,206.10 and 5,578.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.27 : 14,206.10 = 5,578.55 : x
2. Step 2: Convert to fraction form
   10,294.27/14,206.10 = 5,578.55/x
3. Step 3: Cross multiply
   10,294.27x = 14,206.10 × 5,578.55
4. Step 4: Simplify right side
   10,294.27x = 79,249,439.16
5. Step 5: Solve for x
   x = 79,249,439.16/10,294.27
6. Step 6: Final answer
   x = 7,698.40