Finding the Fourth Proportional to 10,293.72, 14,205.38 and 5,578.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293.72 : 14,205.38 = 5,578.02 : x
2. Step 2: Convert to fraction form
   10,293.72/14,205.38 = 5,578.02/x
3. Step 3: Cross multiply
   10,293.72x = 14,205.38 × 5,578.02
4. Step 4: Simplify right side
   10,293.72x = 79,237,865.86
5. Step 5: Solve for x
   x = 79,237,865.86/10,293.72
6. Step 6: Final answer
   x = 7,697.69