Finding the Fourth Proportional to 9,977.24, 13,768.07 and 5,500.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.24 : 13,768.07 = 5,500.15 : x
2. Step 2: Convert to fraction form
   9,977.24/13,768.07 = 5,500.15/x
3. Step 3: Cross multiply
   9,977.24x = 13,768.07 × 5,500.15
4. Step 4: Simplify right side
   9,977.24x = 75,726,388.29
5. Step 5: Solve for x
   x = 75,726,388.29/9,977.24
6. Step 6: Final answer
   x = 7,589.91