Finding the Fourth Proportional to 2,646.22, 3,970.28 and 1,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.22 : 3,970.28 = 1,002.75 : x
2. Step 2: Convert to fraction form
   2,646.22/3,970.28 = 1,002.75/x
3. Step 3: Cross multiply
   2,646.22x = 3,970.28 × 1,002.75
4. Step 4: Simplify right side
   2,646.22x = 3,981,200.78
5. Step 5: Solve for x
   x = 3,981,200.78/2,646.22
6. Step 6: Final answer
   x = 1,504.49