Finding the Fourth Proportional to 9,977.14, 13,768.54 and 5,501.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.14 : 13,768.54 = 5,501.06 : x
2. Step 2: Convert to fraction form
   9,977.14/13,768.54 = 5,501.06/x
3. Step 3: Cross multiply
   9,977.14x = 13,768.54 × 5,501.06
4. Step 4: Simplify right side
   9,977.14x = 75,741,564.65
5. Step 5: Solve for x
   x = 75,741,564.65/9,977.14
6. Step 6: Final answer
   x = 7,591.51