Finding the Fourth Proportional to 6,813.34, 9,401.89 and 3,828.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,813.34 : 9,401.89 = 3,828.61 : x
2. Step 2: Convert to fraction form
   6,813.34/9,401.89 = 3,828.61/x
3. Step 3: Cross multiply
   6,813.34x = 9,401.89 × 3,828.61
4. Step 4: Simplify right side
   6,813.34x = 35,996,170.07
5. Step 5: Solve for x
   x = 35,996,170.07/6,813.34
6. Step 6: Final answer
   x = 5,283.19