Finding the Fourth Proportional to 6,828.75, 9,423.86 and 3,844.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,828.75 : 9,423.86 = 3,844.69 : x
2. Step 2: Convert to fraction form
   6,828.75/9,423.86 = 3,844.69/x
3. Step 3: Cross multiply
   6,828.75x = 9,423.86 × 3,844.69
4. Step 4: Simplify right side
   6,828.75x = 36,231,820.30
5. Step 5: Solve for x
   x = 36,231,820.30/6,828.75
6. Step 6: Final answer
   x = 5,305.78