Finding the Fourth Proportional to 9,977.05, 13,768.06 and 5,500.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.05 : 13,768.06 = 5,500.72 : x
2. Step 2: Convert to fraction form
   9,977.05/13,768.06 = 5,500.72/x
3. Step 3: Cross multiply
   9,977.05x = 13,768.06 × 5,500.72
4. Step 4: Simplify right side
   9,977.05x = 75,734,256.78
5. Step 5: Solve for x
   x = 75,734,256.78/9,977.05
6. Step 6: Final answer
   x = 7,590.85