Finding the Fourth Proportional to 3,837.58, 5,760.38 and 3,401.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,837.58 : 5,760.38 = 3,401.62 : x
2. Step 2: Convert to fraction form
   3,837.58/5,760.38 = 3,401.62/x
3. Step 3: Cross multiply
   3,837.58x = 5,760.38 × 3,401.62
4. Step 4: Simplify right side
   3,837.58x = 19,594,623.82
5. Step 5: Solve for x
   x = 19,594,623.82/3,837.58
6. Step 6: Final answer
   x = 5,105.98