Finding the Fourth Proportional to 1,142.81, 1,705.94 and 1,004.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.81 : 1,705.94 = 1,004.42 : x
2. Step 2: Convert to fraction form
   1,142.81/1,705.94 = 1,004.42/x
3. Step 3: Cross multiply
   1,142.81x = 1,705.94 × 1,004.42
4. Step 4: Simplify right side
   1,142.81x = 1,713,471.73
5. Step 5: Solve for x
   x = 1,713,471.73/1,142.81
6. Step 6: Final answer
   x = 1,499.35