Finding the Fourth Proportional to 6,459.94, 9,665.48 and 3,828.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,459.94 : 9,665.48 = 3,828.86 : x
2. Step 2: Convert to fraction form
   6,459.94/9,665.48 = 3,828.86/x
3. Step 3: Cross multiply
   6,459.94x = 9,665.48 × 3,828.86
4. Step 4: Simplify right side
   6,459.94x = 37,007,769.75
5. Step 5: Solve for x
   x = 37,007,769.75/6,459.94
6. Step 6: Final answer
   x = 5,728.81