Finding the Fourth Proportional to 6,812.92, 9,401.83 and 3,828.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,812.92 : 9,401.83 = 3,828.75 : x
2. Step 2: Convert to fraction form
   6,812.92/9,401.83 = 3,828.75/x
3. Step 3: Cross multiply
   6,812.92x = 9,401.83 × 3,828.75
4. Step 4: Simplify right side
   6,812.92x = 35,997,256.61
5. Step 5: Solve for x
   x = 35,997,256.61/6,812.92
6. Step 6: Final answer
   x = 5,283.68