Finding the Fourth Proportional to 10,363.41, 14,301.45 and 5,647.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.41 : 14,301.45 = 5,647.68 : x
2. Step 2: Convert to fraction form
   10,363.41/14,301.45 = 5,647.68/x
3. Step 3: Cross multiply
   10,363.41x = 14,301.45 × 5,647.68
4. Step 4: Simplify right side
   10,363.41x = 80,770,013.14
5. Step 5: Solve for x
   x = 80,770,013.14/10,363.41
6. Step 6: Final answer
   x = 7,793.77