Finding the Fourth Proportional to 3,778.50, 5,653.50 and 3,394.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.50 : 5,653.50 = 3,394.82 : x
2. Step 2: Convert to fraction form
   3,778.50/5,653.50 = 3,394.82/x
3. Step 3: Cross multiply
   3,778.50x = 5,653.50 × 3,394.82
4. Step 4: Simplify right side
   3,778.50x = 19,192,614.87
5. Step 5: Solve for x
   x = 19,192,614.87/3,778.50
6. Step 6: Final answer
   x = 5,079.43