Finding the Fourth Proportional to 1,151.92, 1,589.76 and 709.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.92 : 1,589.76 = 709.82 : x
2. Step 2: Convert to fraction form
   1,151.92/1,589.76 = 709.82/x
3. Step 3: Cross multiply
   1,151.92x = 1,589.76 × 709.82
4. Step 4: Simplify right side
   1,151.92x = 1,128,443.44
5. Step 5: Solve for x
   x = 1,128,443.44/1,151.92
6. Step 6: Final answer
   x = 979.62