Finding the Fourth Proportional to 6,876.38, 10,314.77 and 1,682.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,876.38 : 10,314.77 = 1,682.25 : x
2. Step 2: Convert to fraction form
   6,876.38/10,314.77 = 1,682.25/x
3. Step 3: Cross multiply
   6,876.38x = 10,314.77 × 1,682.25
4. Step 4: Simplify right side
   6,876.38x = 17,352,013.42
5. Step 5: Solve for x
   x = 17,352,013.42/6,876.38
6. Step 6: Final answer
   x = 2,523.42