Finding the Fourth Proportional to 9,644.50, 14,454.72 and 5,471.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644.50 : 14,454.72 = 5,471.80 : x
2. Step 2: Convert to fraction form
   9,644.50/14,454.72 = 5,471.80/x
3. Step 3: Cross multiply
   9,644.50x = 14,454.72 × 5,471.80
4. Step 4: Simplify right side
   9,644.50x = 79,093,336.90
5. Step 5: Solve for x
   x = 79,093,336.90/9,644.50
6. Step 6: Final answer
   x = 8,200.87