Finding the Fourth Proportional to 9,768.42, 13,481.51 and 5,576.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.42 : 13,481.51 = 5,576.67 : x
2. Step 2: Convert to fraction form
   9,768.42/13,481.51 = 5,576.67/x
3. Step 3: Cross multiply
   9,768.42x = 13,481.51 × 5,576.67
4. Step 4: Simplify right side
   9,768.42x = 75,181,904.49
5. Step 5: Solve for x
   x = 75,181,904.49/9,768.42
6. Step 6: Final answer
   x = 7,696.42