Finding the Fourth Proportional to 9,738.09, 13,441.32 and 5,760.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.09 : 13,441.32 = 5,760.59 : x
2. Step 2: Convert to fraction form
   9,738.09/13,441.32 = 5,760.59/x
3. Step 3: Cross multiply
   9,738.09x = 13,441.32 × 5,760.59
4. Step 4: Simplify right side
   9,738.09x = 77,429,875.97
5. Step 5: Solve for x
   x = 77,429,875.97/9,738.09
6. Step 6: Final answer
   x = 7,951.24