Finding the Fourth Proportional to 1,002.71, 1,502.01 and 672.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.71 : 1,502.01 = 672.64 : x
2. Step 2: Convert to fraction form
   1,002.71/1,502.01 = 672.64/x
3. Step 3: Cross multiply
   1,002.71x = 1,502.01 × 672.64
4. Step 4: Simplify right side
   1,002.71x = 1,010,308.25
5. Step 5: Solve for x
   x = 1,010,308.25/1,002.71
6. Step 6: Final answer
   x = 1,007.58