Finding the Fourth Proportional to 1,142.60, 1,711.72 and 654.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.60 : 1,711.72 = 654.16 : x
2. Step 2: Convert to fraction form
   1,142.60/1,711.72 = 654.16/x
3. Step 3: Cross multiply
   1,142.60x = 1,711.72 × 654.16
4. Step 4: Simplify right side
   1,142.60x = 1,119,738.76
5. Step 5: Solve for x
   x = 1,119,738.76/1,142.60
6. Step 6: Final answer
   x = 979.99