Finding the Fourth Proportional to 3,411.33, 5,116.42 and 946.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,411.33 : 5,116.42 = 946.40 : x
2. Step 2: Convert to fraction form
   3,411.33/5,116.42 = 946.40/x
3. Step 3: Cross multiply
   3,411.33x = 5,116.42 × 946.40
4. Step 4: Simplify right side
   3,411.33x = 4,842,151.94
5. Step 5: Solve for x
   x = 4,842,151.94/3,411.33
6. Step 6: Final answer
   x = 1,419.43