Finding the Fourth Proportional to 6,457.89, 9,688.20 and 2,078.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,457.89 : 9,688.20 = 2,078.42 : x
2. Step 2: Convert to fraction form
   6,457.89/9,688.20 = 2,078.42/x
3. Step 3: Cross multiply
   6,457.89x = 9,688.20 × 2,078.42
4. Step 4: Simplify right side
   6,457.89x = 20,136,100.20
5. Step 5: Solve for x
   x = 20,136,100.20/6,457.89
6. Step 6: Final answer
   x = 3,118.06