Finding the Fourth Proportional to 1,142.69, 1,705.76 and 1,004.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.69 : 1,705.76 = 1,004.30 : x
2. Step 2: Convert to fraction form
   1,142.69/1,705.76 = 1,004.30/x
3. Step 3: Cross multiply
   1,142.69x = 1,705.76 × 1,004.30
4. Step 4: Simplify right side
   1,142.69x = 1,713,086.24
5. Step 5: Solve for x
   x = 1,713,086.24/1,142.69
6. Step 6: Final answer
   x = 1,499.18