Finding the Fourth Proportional to 9,976.88, 13,768.02 and 5,500.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.88 : 13,768.02 = 5,500.64 : x
2. Step 2: Convert to fraction form
   9,976.88/13,768.02 = 5,500.64/x
3. Step 3: Cross multiply
   9,976.88x = 13,768.02 × 5,500.64
4. Step 4: Simplify right side
   9,976.88x = 75,732,921.53
5. Step 5: Solve for x
   x = 75,732,921.53/9,976.88
6. Step 6: Final answer
   x = 7,590.84