Finding the Fourth Proportional to 1,493.16, 2,238.12 and 1,005

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.16 : 2,238.12 = 1,005 : x
2. Step 2: Convert to fraction form
   1,493.16/2,238.12 = 1,005/x
3. Step 3: Cross multiply
   1,493.16x = 2,238.12 × 1,005
4. Step 4: Simplify right side
   1,493.16x = 2,249,310.60
5. Step 5: Solve for x
   x = 2,249,310.60/1,493.16
6. Step 6: Final answer
   x = 1,506.41