Finding the Fourth Proportional to 9,709.77, 13,401.94 and 5,732.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,709.77 : 13,401.94 = 5,732.16 : x
2. Step 2: Convert to fraction form
   9,709.77/13,401.94 = 5,732.16/x
3. Step 3: Cross multiply
   9,709.77x = 13,401.94 × 5,732.16
4. Step 4: Simplify right side
   9,709.77x = 76,822,064.39
5. Step 5: Solve for x
   x = 76,822,064.39/9,709.77
6. Step 6: Final answer
   x = 7,911.83