Finding the Fourth Proportional to 2,646.28, 3,969.86 and 1,003

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.28 : 3,969.86 = 1,003 : x
2. Step 2: Convert to fraction form
   2,646.28/3,969.86 = 1,003/x
3. Step 3: Cross multiply
   2,646.28x = 3,969.86 × 1,003
4. Step 4: Simplify right side
   2,646.28x = 3,981,769.58
5. Step 5: Solve for x
   x = 3,981,769.58/2,646.28
6. Step 6: Final answer
   x = 1,504.67