Finding the Fourth Proportional to 2,306.53, 3,456.55 and 1,005.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,306.53 : 3,456.55 = 1,005.27 : x
2. Step 2: Convert to fraction form
   2,306.53/3,456.55 = 1,005.27/x
3. Step 3: Cross multiply
   2,306.53x = 3,456.55 × 1,005.27
4. Step 4: Simplify right side
   2,306.53x = 3,474,766.02
5. Step 5: Solve for x
   x = 3,474,766.02/2,306.53
6. Step 6: Final answer
   x = 1,506.49