Finding the Fourth Proportional to 3,814.20, 5,713.86 and 3,401.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,814.20 : 5,713.86 = 3,401.40 : x
2. Step 2: Convert to fraction form
   3,814.20/5,713.86 = 3,401.40/x
3. Step 3: Cross multiply
   3,814.20x = 5,713.86 × 3,401.40
4. Step 4: Simplify right side
   3,814.20x = 19,435,123.40
5. Step 5: Solve for x
   x = 19,435,123.40/3,814.20
6. Step 6: Final answer
   x = 5,095.47