Finding the Fourth Proportional to 10,363.86, 14,302.14 and 5,648.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.86 : 14,302.14 = 5,648.28 : x
2. Step 2: Convert to fraction form
   10,363.86/14,302.14 = 5,648.28/x
3. Step 3: Cross multiply
   10,363.86x = 14,302.14 × 5,648.28
4. Step 4: Simplify right side
   10,363.86x = 80,782,491.32
5. Step 5: Solve for x
   x = 80,782,491.32/10,363.86
6. Step 6: Final answer
   x = 7,794.63