Finding the Fourth Proportional to 2,344.31, 3,514.71 and 1,419.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,344.31 : 3,514.71 = 1,419.64 : x
2. Step 2: Convert to fraction form
   2,344.31/3,514.71 = 1,419.64/x
3. Step 3: Cross multiply
   2,344.31x = 3,514.71 × 1,419.64
4. Step 4: Simplify right side
   2,344.31x = 4,989,622.90
5. Step 5: Solve for x
   x = 4,989,622.90/2,344.31
6. Step 6: Final answer
   x = 2,128.40