Finding the Fourth Proportional to 2,042.82, 3,064.64 and 946.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042.82 : 3,064.64 = 946.49 : x
2. Step 2: Convert to fraction form
   2,042.82/3,064.64 = 946.49/x
3. Step 3: Cross multiply
   2,042.82x = 3,064.64 × 946.49
4. Step 4: Simplify right side
   2,042.82x = 2,900,631.06
5. Step 5: Solve for x
   x = 2,900,631.06/2,042.82
6. Step 6: Final answer
   x = 1,419.92