Finding the Fourth Proportional to 6,456.96, 9,686.13 and 2,297.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.96 : 9,686.13 = 2,297.34 : x
2. Step 2: Convert to fraction form
   6,456.96/9,686.13 = 2,297.34/x
3. Step 3: Cross multiply
   6,456.96x = 9,686.13 × 2,297.34
4. Step 4: Simplify right side
   6,456.96x = 22,252,333.89
5. Step 5: Solve for x
   x = 22,252,333.89/6,456.96
6. Step 6: Final answer
   x = 3,446.26