Finding the Fourth Proportional to 6,369.83, 9,540.90 and 3,897.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,369.83 : 9,540.90 = 3,897.14 : x
2. Step 2: Convert to fraction form
   6,369.83/9,540.90 = 3,897.14/x
3. Step 3: Cross multiply
   6,369.83x = 9,540.90 × 3,897.14
4. Step 4: Simplify right side
   6,369.83x = 37,182,175.32
5. Step 5: Solve for x
   x = 37,182,175.32/6,369.83
6. Step 6: Final answer
   x = 5,837.24