Finding the Fourth Proportional to 1,665.11, 2,298.53 and 1,002.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.11 : 2,298.53 = 1,002.53 : x
2. Step 2: Convert to fraction form
   1,665.11/2,298.53 = 1,002.53/x
3. Step 3: Cross multiply
   1,665.11x = 2,298.53 × 1,002.53
4. Step 4: Simplify right side
   1,665.11x = 2,304,340.27
5. Step 5: Solve for x
   x = 2,304,340.27/1,665.11
6. Step 6: Final answer
   x = 1,383.90