Finding the Fourth Proportional to 2,465.10, 3,698.55 and 1,005.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.10 : 3,698.55 = 1,005.30 : x
2. Step 2: Convert to fraction form
   2,465.10/3,698.55 = 1,005.30/x
3. Step 3: Cross multiply
   2,465.10x = 3,698.55 × 1,005.30
4. Step 4: Simplify right side
   2,465.10x = 3,718,152.32
5. Step 5: Solve for x
   x = 3,718,152.32/2,465.10
6. Step 6: Final answer
   x = 1,508.32