Finding the Fourth Proportional to 3,853.71, 5,782.41 and 3,691.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,853.71 : 5,782.41 = 3,691.22 : x
2. Step 2: Convert to fraction form
   3,853.71/5,782.41 = 3,691.22/x
3. Step 3: Cross multiply
   3,853.71x = 5,782.41 × 3,691.22
4. Step 4: Simplify right side
   3,853.71x = 21,344,118.53
5. Step 5: Solve for x
   x = 21,344,118.53/3,853.71
6. Step 6: Final answer
   x = 5,538.59