Finding the Fourth Proportional to 6,812.90, 9,401.82 and 3,828.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,812.90 : 9,401.82 = 3,828.75 : x
2. Step 2: Convert to fraction form
   6,812.90/9,401.82 = 3,828.75/x
3. Step 3: Cross multiply
   6,812.90x = 9,401.82 × 3,828.75
4. Step 4: Simplify right side
   6,812.90x = 35,997,218.33
5. Step 5: Solve for x
   x = 35,997,218.33/6,812.90
6. Step 6: Final answer
   x = 5,283.69