Finding the Fourth Proportional to 9,977.36, 13,768.86 and 5,501.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.36 : 13,768.86 = 5,501.27 : x
2. Step 2: Convert to fraction form
   9,977.36/13,768.86 = 5,501.27/x
3. Step 3: Cross multiply
   9,977.36x = 13,768.86 × 5,501.27
4. Step 4: Simplify right side
   9,977.36x = 75,746,120.10
5. Step 5: Solve for x
   x = 75,746,120.10/9,977.36
6. Step 6: Final answer
   x = 7,591.80