Finding the Fourth Proportional to 9,738.02, 13,437.69 and 5,759.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.02 : 13,437.69 = 5,759.30 : x
2. Step 2: Convert to fraction form
   9,738.02/13,437.69 = 5,759.30/x
3. Step 3: Cross multiply
   9,738.02x = 13,437.69 × 5,759.30
4. Step 4: Simplify right side
   9,738.02x = 77,391,688.02
5. Step 5: Solve for x
   x = 77,391,688.02/9,738.02
6. Step 6: Final answer
   x = 7,947.37