Finding the Fourth Proportional to 6,813, 9,401.94 and 3,828.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,813 : 9,401.94 = 3,828.78 : x
2. Step 2: Convert to fraction form
   6,813/9,401.94 = 3,828.78/x
3. Step 3: Cross multiply
   6,813x = 9,401.94 × 3,828.78
4. Step 4: Simplify right side
   6,813x = 35,997,959.83
5. Step 5: Solve for x
   x = 35,997,959.83/6,813
6. Step 6: Final answer
   x = 5,283.72