Finding the Fourth Proportional to 1,142.24, 1,711.46 and 654.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.24 : 1,711.46 = 654.08 : x
2. Step 2: Convert to fraction form
   1,142.24/1,711.46 = 654.08/x
3. Step 3: Cross multiply
   1,142.24x = 1,711.46 × 654.08
4. Step 4: Simplify right side
   1,142.24x = 1,119,424.83
5. Step 5: Solve for x
   x = 1,119,424.83/1,142.24
6. Step 6: Final answer
   x = 980.03