Finding the Fourth Proportional to 3,854.50, 5,783.94 and 3,823.18

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.50 : 5,783.94 = 3,823.18 : x
2. Step 2: Convert to fraction form
   3,854.50/5,783.94 = 3,823.18/x
3. Step 3: Cross multiply
   3,854.50x = 5,783.94 × 3,823.18
4. Step 4: Simplify right side
   3,854.50x = 22,113,043.73
5. Step 5: Solve for x
   x = 22,113,043.73/3,854.50
6. Step 6: Final answer
   x = 5,736.94