Finding the Fourth Proportional to 2,545.08, 3,815.46 and 1,005

Step by Step Solution

1. Step 1: Write the proportion equation
   2,545.08 : 3,815.46 = 1,005 : x
2. Step 2: Convert to fraction form
   2,545.08/3,815.46 = 1,005/x
3. Step 3: Cross multiply
   2,545.08x = 3,815.46 × 1,005
4. Step 4: Simplify right side
   2,545.08x = 3,834,537.30
5. Step 5: Solve for x
   x = 3,834,537.30/2,545.08
6. Step 6: Final answer
   x = 1,506.65