Finding the Fourth Proportional to 1,665.72, 2,297.78 and 1,002.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.72 : 2,297.78 = 1,002.17 : x
2. Step 2: Convert to fraction form
   1,665.72/2,297.78 = 1,002.17/x
3. Step 3: Cross multiply
   1,665.72x = 2,297.78 × 1,002.17
4. Step 4: Simplify right side
   1,665.72x = 2,302,766.18
5. Step 5: Solve for x
   x = 2,302,766.18/1,665.72
6. Step 6: Final answer
   x = 1,382.44