Finding the Fourth Proportional to 6,833.10, 9,429.72 and 3,849.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,833.10 : 9,429.72 = 3,849.00 : x
2. Step 2: Convert to fraction form
   6,833.10/9,429.72 = 3,849.00/x
3. Step 3: Cross multiply
   6,833.10x = 9,429.72 × 3,849.00
4. Step 4: Simplify right side
   6,833.10x = 36,294,942.48
5. Step 5: Solve for x
   x = 36,294,942.48/6,833.10
6. Step 6: Final answer
   x = 5,311.63