Finding the Fourth Proportional to 9,738.52, 13,438.38 and 5,759.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.52 : 13,438.38 = 5,759.80 : x
2. Step 2: Convert to fraction form
   9,738.52/13,438.38 = 5,759.80/x
3. Step 3: Cross multiply
   9,738.52x = 13,438.38 × 5,759.80
4. Step 4: Simplify right side
   9,738.52x = 77,402,381.12
5. Step 5: Solve for x
   x = 77,402,381.12/9,738.52
6. Step 6: Final answer
   x = 7,948.06