Finding the Fourth Proportional to 9,976.80, 13,768.07 and 5,500.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.80 : 13,768.07 = 5,500.71 : x
2. Step 2: Convert to fraction form
   9,976.80/13,768.07 = 5,500.71/x
3. Step 3: Cross multiply
   9,976.80x = 13,768.07 × 5,500.71
4. Step 4: Simplify right side
   9,976.80x = 75,734,091.49
5. Step 5: Solve for x
   x = 75,734,091.49/9,976.80
6. Step 6: Final answer
   x = 7,591.02