Finding the Fourth Proportional to 10,363.46, 14,301.43 and 5,647.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.46 : 14,301.43 = 5,647.64 : x
2. Step 2: Convert to fraction form
   10,363.46/14,301.43 = 5,647.64/x
3. Step 3: Cross multiply
   10,363.46x = 14,301.43 × 5,647.64
4. Step 4: Simplify right side
   10,363.46x = 80,769,242.50
5. Step 5: Solve for x
   x = 80,769,242.50/10,363.46
6. Step 6: Final answer
   x = 7,793.66