Finding the Fourth Proportional to 9,977.16, 13,768.25 and 5,500.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.16 : 13,768.25 = 5,500.81 : x
2. Step 2: Convert to fraction form
   9,977.16/13,768.25 = 5,500.81/x
3. Step 3: Cross multiply
   9,977.16x = 13,768.25 × 5,500.81
4. Step 4: Simplify right side
   9,977.16x = 75,736,527.28
5. Step 5: Solve for x
   x = 75,736,527.28/9,977.16
6. Step 6: Final answer
   x = 7,590.99