Finding the Fourth Proportional to 3,564.80, 5,348.71 and 1,919.43

Step by Step Solution

1. Step 1: Write the proportion equation
   3,564.80 : 5,348.71 = 1,919.43 : x
2. Step 2: Convert to fraction form
   3,564.80/5,348.71 = 1,919.43/x
3. Step 3: Cross multiply
   3,564.80x = 5,348.71 × 1,919.43
4. Step 4: Simplify right side
   3,564.80x = 10,266,447.69
5. Step 5: Solve for x
   x = 10,266,447.69/3,564.80
6. Step 6: Final answer
   x = 2,879.95