Finding the Fourth Proportional to 10,363.40, 14,301.20 and 5,647.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.40 : 14,301.20 = 5,647.72 : x
2. Step 2: Convert to fraction form
   10,363.40/14,301.20 = 5,647.72/x
3. Step 3: Cross multiply
   10,363.40x = 14,301.20 × 5,647.72
4. Step 4: Simplify right side
   10,363.40x = 80,769,173.26
5. Step 5: Solve for x
   x = 80,769,173.26/10,363.40
6. Step 6: Final answer
   x = 7,793.69