Finding the Fourth Proportional to 6,184.38, 8,537.60 and 3,827.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,184.38 : 8,537.60 = 3,827.89 : x
2. Step 2: Convert to fraction form
   6,184.38/8,537.60 = 3,827.89/x
3. Step 3: Cross multiply
   6,184.38x = 8,537.60 × 3,827.89
4. Step 4: Simplify right side
   6,184.38x = 32,681,013.91
5. Step 5: Solve for x
   x = 32,681,013.91/6,184.38
6. Step 6: Final answer
   x = 5,284.44