Finding the Fourth Proportional to 2,419.76, 3,628.14 and 1,119.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.76 : 3,628.14 = 1,119.56 : x
2. Step 2: Convert to fraction form
   2,419.76/3,628.14 = 1,119.56/x
3. Step 3: Cross multiply
   2,419.76x = 3,628.14 × 1,119.56
4. Step 4: Simplify right side
   2,419.76x = 4,061,920.42
5. Step 5: Solve for x
   x = 4,061,920.42/2,419.76
6. Step 6: Final answer
   x = 1,678.65