Finding the Fourth Proportional to 1,674.86, 2,309.71 and 1,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674.86 : 2,309.71 = 1,002.56 : x
2. Step 2: Convert to fraction form
   1,674.86/2,309.71 = 1,002.56/x
3. Step 3: Cross multiply
   1,674.86x = 2,309.71 × 1,002.56
4. Step 4: Simplify right side
   1,674.86x = 2,315,608.80
5. Step 5: Solve for x
   x = 2,315,608.80/1,674.86
6. Step 6: Final answer
   x = 1,382.57