Finding the Fourth Proportional to 6,171.39, 8,513.91 and 3,782.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,171.39 : 8,513.91 = 3,782.30 : x
2. Step 2: Convert to fraction form
   6,171.39/8,513.91 = 3,782.30/x
3. Step 3: Cross multiply
   6,171.39x = 8,513.91 × 3,782.30
4. Step 4: Simplify right side
   6,171.39x = 32,202,119.22
5. Step 5: Solve for x
   x = 32,202,119.22/6,171.39
6. Step 6: Final answer
   x = 5,217.97