Finding the Fourth Proportional to 6,452.89, 9,678.42 and 2,069.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,452.89 : 9,678.42 = 2,069.78 : x
2. Step 2: Convert to fraction form
   6,452.89/9,678.42 = 2,069.78/x
3. Step 3: Cross multiply
   6,452.89x = 9,678.42 × 2,069.78
4. Step 4: Simplify right side
   6,452.89x = 20,032,151.76
5. Step 5: Solve for x
   x = 20,032,151.76/6,452.89
6. Step 6: Final answer
   x = 3,104.37