Finding the Fourth Proportional to 9,747.78, 13,449.96 and 5,769.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,747.78 : 13,449.96 = 5,769.47 : x
2. Step 2: Convert to fraction form
   9,747.78/13,449.96 = 5,769.47/x
3. Step 3: Cross multiply
   9,747.78x = 13,449.96 × 5,769.47
4. Step 4: Simplify right side
   9,747.78x = 77,599,073.47
5. Step 5: Solve for x
   x = 77,599,073.47/9,747.78
6. Step 6: Final answer
   x = 7,960.69