Finding the Fourth Proportional to 9,747.40, 13,452.56 and 5,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,747.40 : 13,452.56 = 5,768.50 : x
2. Step 2: Convert to fraction form
   9,747.40/13,452.56 = 5,768.50/x
3. Step 3: Cross multiply
   9,747.40x = 13,452.56 × 5,768.50
4. Step 4: Simplify right side
   9,747.40x = 77,601,092.36
5. Step 5: Solve for x
   x = 77,601,092.36/9,747.40
6. Step 6: Final answer
   x = 7,961.21