Finding the Fourth Proportional to 3,878.69, 5,819.45 and 2,419.07

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.69 : 5,819.45 = 2,419.07 : x
2. Step 2: Convert to fraction form
   3,878.69/5,819.45 = 2,419.07/x
3. Step 3: Cross multiply
   3,878.69x = 5,819.45 × 2,419.07
4. Step 4: Simplify right side
   3,878.69x = 14,077,615.72
5. Step 5: Solve for x
   x = 14,077,615.72/3,878.69
6. Step 6: Final answer
   x = 3,629.48