Finding the Fourth Proportional to 1,665.75, 2,298.60 and 1,002.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.75 : 2,298.60 = 1,002.54 : x
2. Step 2: Convert to fraction form
   1,665.75/2,298.60 = 1,002.54/x
3. Step 3: Cross multiply
   1,665.75x = 2,298.60 × 1,002.54
4. Step 4: Simplify right side
   1,665.75x = 2,304,438.44
5. Step 5: Solve for x
   x = 2,304,438.44/1,665.75
6. Step 6: Final answer
   x = 1,383.42