Finding the Fourth Proportional to 6,456.48, 9,693.32 and 3,828.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.48 : 9,693.32 = 3,828.84 : x
2. Step 2: Convert to fraction form
   6,456.48/9,693.32 = 3,828.84/x
3. Step 3: Cross multiply
   6,456.48x = 9,693.32 × 3,828.84
4. Step 4: Simplify right side
   6,456.48x = 37,114,171.35
5. Step 5: Solve for x
   x = 37,114,171.35/6,456.48
6. Step 6: Final answer
   x = 5,748.36