Finding the Fourth Proportional to 1,589.48, 2,382.12 and 766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.48 : 2,382.12 = 766.25 : x
2. Step 2: Convert to fraction form
   1,589.48/2,382.12 = 766.25/x
3. Step 3: Cross multiply
   1,589.48x = 2,382.12 × 766.25
4. Step 4: Simplify right side
   1,589.48x = 1,825,287.54
5. Step 5: Solve for x
   x = 1,825,287.54/1,589.48
6. Step 6: Final answer
   x = 1,148.36