Finding the Fourth Proportional to 3,678.68, 5,487.89 and 3,578.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.68 : 5,487.89 = 3,578.24 : x
2. Step 2: Convert to fraction form
   3,678.68/5,487.89 = 3,578.24/x
3. Step 3: Cross multiply
   3,678.68x = 5,487.89 × 3,578.24
4. Step 4: Simplify right side
   3,678.68x = 19,636,983.34
5. Step 5: Solve for x
   x = 19,636,983.34/3,678.68
6. Step 6: Final answer
   x = 5,338.05