Finding the Fourth Proportional to 6,456.25, 8,908.25 and 3,802.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.25 : 8,908.25 = 3,802.69 : x
2. Step 2: Convert to fraction form
   6,456.25/8,908.25 = 3,802.69/x
3. Step 3: Cross multiply
   6,456.25x = 8,908.25 × 3,802.69
4. Step 4: Simplify right side
   6,456.25x = 33,875,313.19
5. Step 5: Solve for x
   x = 33,875,313.19/6,456.25
6. Step 6: Final answer
   x = 5,246.90