Finding the Fourth Proportional to 6,456.81, 9,686.56 and 2,077.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.81 : 9,686.56 = 2,077.34 : x
2. Step 2: Convert to fraction form
   6,456.81/9,686.56 = 2,077.34/x
3. Step 3: Cross multiply
   6,456.81x = 9,686.56 × 2,077.34
4. Step 4: Simplify right side
   6,456.81x = 20,122,278.55
5. Step 5: Solve for x
   x = 20,122,278.55/6,456.81
6. Step 6: Final answer
   x = 3,116.44