Finding the Fourth Proportional to 9,123.38, 13,678.15 and 3,857.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,123.38 : 13,678.15 = 3,857.41 : x
2. Step 2: Convert to fraction form
   9,123.38/13,678.15 = 3,857.41/x
3. Step 3: Cross multiply
   9,123.38x = 13,678.15 × 3,857.41
4. Step 4: Simplify right side
   9,123.38x = 52,762,176.63
5. Step 5: Solve for x
   x = 52,762,176.63/9,123.38
6. Step 6: Final answer
   x = 5,783.18