Finding the Fourth Proportional to 9,738.19, 13,438.71 and 5,759.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.19 : 13,438.71 = 5,759.57 : x
2. Step 2: Convert to fraction form
   9,738.19/13,438.71 = 5,759.57/x
3. Step 3: Cross multiply
   9,738.19x = 13,438.71 × 5,759.57
4. Step 4: Simplify right side
   9,738.19x = 77,401,224.55
5. Step 5: Solve for x
   x = 77,401,224.55/9,738.19
6. Step 6: Final answer
   x = 7,948.21