Finding the Fourth Proportional to 2,005.46, 3,002.69 and 1,346.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.46 : 3,002.69 = 1,346.42 : x
2. Step 2: Convert to fraction form
   2,005.46/3,002.69 = 1,346.42/x
3. Step 3: Cross multiply
   2,005.46x = 3,002.69 × 1,346.42
4. Step 4: Simplify right side
   2,005.46x = 4,042,860.12
5. Step 5: Solve for x
   x = 4,042,860.12/2,005.46
6. Step 6: Final answer
   x = 2,015.93