Finding the Fourth Proportional to 3,414.16, 5,119.89 and 1,465

Step by Step Solution

1. Step 1: Write the proportion equation
   3,414.16 : 5,119.89 = 1,465 : x
2. Step 2: Convert to fraction form
   3,414.16/5,119.89 = 1,465/x
3. Step 3: Cross multiply
   3,414.16x = 5,119.89 × 1,465
4. Step 4: Simplify right side
   3,414.16x = 7,500,638.85
5. Step 5: Solve for x
   x = 7,500,638.85/3,414.16
6. Step 6: Final answer
   x = 2,196.92