Finding the Fourth Proportional to 6,811.90, 9,401.37 and 3,827.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,811.90 : 9,401.37 = 3,827.96 : x
2. Step 2: Convert to fraction form
   6,811.90/9,401.37 = 3,827.96/x
3. Step 3: Cross multiply
   6,811.90x = 9,401.37 × 3,827.96
4. Step 4: Simplify right side
   6,811.90x = 35,988,068.31
5. Step 5: Solve for x
   x = 35,988,068.31/6,811.90
6. Step 6: Final answer
   x = 5,283.12