Finding the Fourth Proportional to 3,768.94, 5,682.30 and 3,514.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.94 : 5,682.30 = 3,514.86 : x
2. Step 2: Convert to fraction form
   3,768.94/5,682.30 = 3,514.86/x
3. Step 3: Cross multiply
   3,768.94x = 5,682.30 × 3,514.86
4. Step 4: Simplify right side
   3,768.94x = 19,972,488.98
5. Step 5: Solve for x
   x = 19,972,488.98/3,768.94
6. Step 6: Final answer
   x = 5,299.23