Finding the Fourth Proportional to 1,616.14, 2,229.69 and 1,459

Step by Step Solution

1. Step 1: Write the proportion equation
   1,616.14 : 2,229.69 = 1,459 : x
2. Step 2: Convert to fraction form
   1,616.14/2,229.69 = 1,459/x
3. Step 3: Cross multiply
   1,616.14x = 2,229.69 × 1,459
4. Step 4: Simplify right side
   1,616.14x = 3,253,117.71
5. Step 5: Solve for x
   x = 3,253,117.71/1,616.14
6. Step 6: Final answer
   x = 2,012.89