Finding the Fourth Proportional to 1,665.97, 2,298.13 and 1,002.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.97 : 2,298.13 = 1,002.42 : x
2. Step 2: Convert to fraction form
   1,665.97/2,298.13 = 1,002.42/x
3. Step 3: Cross multiply
   1,665.97x = 2,298.13 × 1,002.42
4. Step 4: Simplify right side
   1,665.97x = 2,303,688.97
5. Step 5: Solve for x
   x = 2,303,688.97/1,665.97
6. Step 6: Final answer
   x = 1,382.79