Finding the Fourth Proportional to 10,294.17, 14,205.96 and 5,578.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.17 : 14,205.96 = 5,578.45 : x
2. Step 2: Convert to fraction form
   10,294.17/14,205.96 = 5,578.45/x
3. Step 3: Cross multiply
   10,294.17x = 14,205.96 × 5,578.45
4. Step 4: Simplify right side
   10,294.17x = 79,247,266.27
5. Step 5: Solve for x
   x = 79,247,266.27/10,294.17
6. Step 6: Final answer
   x = 7,698.27