Finding the Fourth Proportional to 10,363.97, 14,302.27 and 5,648.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.97 : 14,302.27 = 5,648.24 : x
2. Step 2: Convert to fraction form
   10,363.97/14,302.27 = 5,648.24/x
3. Step 3: Cross multiply
   10,363.97x = 14,302.27 × 5,648.24
4. Step 4: Simplify right side
   10,363.97x = 80,782,653.50
5. Step 5: Solve for x
   x = 80,782,653.50/10,363.97
6. Step 6: Final answer
   x = 7,794.57