Finding the Fourth Proportional to 1,665.57, 2,298.45 and 1,002.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.57 : 2,298.45 = 1,002.42 : x
2. Step 2: Convert to fraction form
   1,665.57/2,298.45 = 1,002.42/x
3. Step 3: Cross multiply
   1,665.57x = 2,298.45 × 1,002.42
4. Step 4: Simplify right side
   1,665.57x = 2,304,012.25
5. Step 5: Solve for x
   x = 2,304,012.25/1,665.57
6. Step 6: Final answer
   x = 1,383.32