Finding the Fourth Proportional to 9,977.30, 13,768.77 and 5,501.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.30 : 13,768.77 = 5,501.23 : x
2. Step 2: Convert to fraction form
   9,977.30/13,768.77 = 5,501.23/x
3. Step 3: Cross multiply
   9,977.30x = 13,768.77 × 5,501.23
4. Step 4: Simplify right side
   9,977.30x = 75,745,101.74
5. Step 5: Solve for x
   x = 75,745,101.74/9,977.30
6. Step 6: Final answer
   x = 7,591.74