Finding the Fourth Proportional to 9,678.05, 13,355.97 and 5,698.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.05 : 13,355.97 = 5,698.43 : x
2. Step 2: Convert to fraction form
   9,678.05/13,355.97 = 5,698.43/x
3. Step 3: Cross multiply
   9,678.05x = 13,355.97 × 5,698.43
4. Step 4: Simplify right side
   9,678.05x = 76,108,060.13
5. Step 5: Solve for x
   x = 76,108,060.13/9,678.05
6. Step 6: Final answer
   x = 7,863.99