Finding the Fourth Proportional to 9,767.54, 13,480.17 and 5,576.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.54 : 13,480.17 = 5,576.42 : x
2. Step 2: Convert to fraction form
   9,767.54/13,480.17 = 5,576.42/x
3. Step 3: Cross multiply
   9,767.54x = 13,480.17 × 5,576.42
4. Step 4: Simplify right side
   9,767.54x = 75,171,089.59
5. Step 5: Solve for x
   x = 75,171,089.59/9,767.54
6. Step 6: Final answer
   x = 7,696.01