Finding the Fourth Proportional to 3,827.54, 5,694.71 and 3,814.58

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.54 : 5,694.71 = 3,814.58 : x
2. Step 2: Convert to fraction form
   3,827.54/5,694.71 = 3,814.58/x
3. Step 3: Cross multiply
   3,827.54x = 5,694.71 × 3,814.58
4. Step 4: Simplify right side
   3,827.54x = 21,722,879.33
5. Step 5: Solve for x
   x = 21,722,879.33/3,827.54
6. Step 6: Final answer
   x = 5,675.42