Finding the Fourth Proportional to 2,205.10, 3,042.42 and 1,419.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.10 : 3,042.42 = 1,419.60 : x
2. Step 2: Convert to fraction form
   2,205.10/3,042.42 = 1,419.60/x
3. Step 3: Cross multiply
   2,205.10x = 3,042.42 × 1,419.60
4. Step 4: Simplify right side
   2,205.10x = 4,319,019.43
5. Step 5: Solve for x
   x = 4,319,019.43/2,205.10
6. Step 6: Final answer
   x = 1,958.65