Finding the Fourth Proportional to 9,678.27, 13,355.34 and 5,698.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.27 : 13,355.34 = 5,698.54 : x
2. Step 2: Convert to fraction form
   9,678.27/13,355.34 = 5,698.54/x
3. Step 3: Cross multiply
   9,678.27x = 13,355.34 × 5,698.54
4. Step 4: Simplify right side
   9,678.27x = 76,105,939.20
5. Step 5: Solve for x
   x = 76,105,939.20/9,678.27
6. Step 6: Final answer
   x = 7,863.59