Finding the Fourth Proportional to 9,944.80, 13,724.22 and 5,696.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,944.80 : 13,724.22 = 5,696.56 : x
2. Step 2: Convert to fraction form
   9,944.80/13,724.22 = 5,696.56/x
3. Step 3: Cross multiply
   9,944.80x = 13,724.22 × 5,696.56
4. Step 4: Simplify right side
   9,944.80x = 78,180,842.68
5. Step 5: Solve for x
   x = 78,180,842.68/9,944.80
6. Step 6: Final answer
   x = 7,861.48