Finding the Fourth Proportional to 10,363.61, 14,301.92 and 5,647.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.61 : 14,301.92 = 5,647.88 : x
2. Step 2: Convert to fraction form
   10,363.61/14,301.92 = 5,647.88/x
3. Step 3: Cross multiply
   10,363.61x = 14,301.92 × 5,647.88
4. Step 4: Simplify right side
   10,363.61x = 80,775,527.93
5. Step 5: Solve for x
   x = 80,775,527.93/10,363.61
6. Step 6: Final answer
   x = 7,794.15