Finding the Fourth Proportional to 9,715.89, 13,401.68 and 5,736.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,715.89 : 13,401.68 = 5,736.77 : x
2. Step 2: Convert to fraction form
   9,715.89/13,401.68 = 5,736.77/x
3. Step 3: Cross multiply
   9,715.89x = 13,401.68 × 5,736.77
4. Step 4: Simplify right side
   9,715.89x = 76,882,260.08
5. Step 5: Solve for x
   x = 76,882,260.08/9,715.89
6. Step 6: Final answer
   x = 7,913.04