Finding the Fourth Proportional to 3,898.25, 5,814.50 and 3,781.54

Step by Step Solution

1. Step 1: Write the proportion equation
   3,898.25 : 5,814.50 = 3,781.54 : x
2. Step 2: Convert to fraction form
   3,898.25/5,814.50 = 3,781.54/x
3. Step 3: Cross multiply
   3,898.25x = 5,814.50 × 3,781.54
4. Step 4: Simplify right side
   3,898.25x = 21,987,764.33
5. Step 5: Solve for x
   x = 21,987,764.33/3,898.25
6. Step 6: Final answer
   x = 5,640.42