Finding the Fourth Proportional to 9,977.68, 13,768.28 and 5,500.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.68 : 13,768.28 = 5,500.31 : x
2. Step 2: Convert to fraction form
   9,977.68/13,768.28 = 5,500.31/x
3. Step 3: Cross multiply
   9,977.68x = 13,768.28 × 5,500.31
4. Step 4: Simplify right side
   9,977.68x = 75,729,732.45
5. Step 5: Solve for x
   x = 75,729,732.45/9,977.68
6. Step 6: Final answer
   x = 7,589.91