Finding the Fourth Proportional to 9,977.59, 13,768.90 and 5,501.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.59 : 13,768.90 = 5,501.33 : x
2. Step 2: Convert to fraction form
   9,977.59/13,768.90 = 5,501.33/x
3. Step 3: Cross multiply
   9,977.59x = 13,768.90 × 5,501.33
4. Step 4: Simplify right side
   9,977.59x = 75,747,262.64
5. Step 5: Solve for x
   x = 75,747,262.64/9,977.59
6. Step 6: Final answer
   x = 7,591.74