Finding the Fourth Proportional to 3,876.63, 5,363.83 and 3,380.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,876.63 : 5,363.83 = 3,380.30 : x
2. Step 2: Convert to fraction form
   3,876.63/5,363.83 = 3,380.30/x
3. Step 3: Cross multiply
   3,876.63x = 5,363.83 × 3,380.30
4. Step 4: Simplify right side
   3,876.63x = 18,131,354.55
5. Step 5: Solve for x
   x = 18,131,354.55/3,876.63
6. Step 6: Final answer
   x = 4,677.09