Finding the Fourth Proportional to 2,082.63, 2,874.51 and 1,419.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.63 : 2,874.51 = 1,419.75 : x
2. Step 2: Convert to fraction form
   2,082.63/2,874.51 = 1,419.75/x
3. Step 3: Cross multiply
   2,082.63x = 2,874.51 × 1,419.75
4. Step 4: Simplify right side
   2,082.63x = 4,081,085.57
5. Step 5: Solve for x
   x = 4,081,085.57/2,082.63
6. Step 6: Final answer
   x = 1,959.58