Finding the Fourth Proportional to 2,258.17, 3,116.49 and 1,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.17 : 3,116.49 = 1,419.50 : x
2. Step 2: Convert to fraction form
   2,258.17/3,116.49 = 1,419.50/x
3. Step 3: Cross multiply
   2,258.17x = 3,116.49 × 1,419.50
4. Step 4: Simplify right side
   2,258.17x = 4,423,857.56
5. Step 5: Solve for x
   x = 4,423,857.56/2,258.17
6. Step 6: Final answer
   x = 1,959.05