Finding the Fourth Proportional to 9,738.31, 13,438.29 and 5,759.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.31 : 13,438.29 = 5,759.77 : x
2. Step 2: Convert to fraction form
   9,738.31/13,438.29 = 5,759.77/x
3. Step 3: Cross multiply
   9,738.31x = 13,438.29 × 5,759.77
4. Step 4: Simplify right side
   9,738.31x = 77,401,459.59
5. Step 5: Solve for x
   x = 77,401,459.59/9,738.31
6. Step 6: Final answer
   x = 7,948.14