Finding the Fourth Proportional to 6,823.50, 9,415.83 and 3,839.58

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823.50 : 9,415.83 = 3,839.58 : x
2. Step 2: Convert to fraction form
   6,823.50/9,415.83 = 3,839.58/x
3. Step 3: Cross multiply
   6,823.50x = 9,415.83 × 3,839.58
4. Step 4: Simplify right side
   6,823.50x = 36,152,832.55
5. Step 5: Solve for x
   x = 36,152,832.55/6,823.50
6. Step 6: Final answer
   x = 5,298.28