Finding the Fourth Proportional to 3,578.14, 4,938.15 and 2,162.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,578.14 : 4,938.15 = 2,162.53 : x
2. Step 2: Convert to fraction form
   3,578.14/4,938.15 = 2,162.53/x
3. Step 3: Cross multiply
   3,578.14x = 4,938.15 × 2,162.53
4. Step 4: Simplify right side
   3,578.14x = 10,678,897.52
5. Step 5: Solve for x
   x = 10,678,897.52/3,578.14
6. Step 6: Final answer
   x = 2,984.48