Finding the Fourth Proportional to 1,665.36, 2,299.12 and 1,002.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.36 : 2,299.12 = 1,002.38 : x
2. Step 2: Convert to fraction form
   1,665.36/2,299.12 = 1,002.38/x
3. Step 3: Cross multiply
   1,665.36x = 2,299.12 × 1,002.38
4. Step 4: Simplify right side
   1,665.36x = 2,304,577.90
5. Step 5: Solve for x
   x = 2,304,577.90/1,665.36
6. Step 6: Final answer
   x = 1,383.83