Finding the Fourth Proportional to 1,040.73, 1,563.12 and 765.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,040.73 : 1,563.12 = 765.74 : x
2. Step 2: Convert to fraction form
   1,040.73/1,563.12 = 765.74/x
3. Step 3: Cross multiply
   1,040.73x = 1,563.12 × 765.74
4. Step 4: Simplify right side
   1,040.73x = 1,196,935.69
5. Step 5: Solve for x
   x = 1,196,935.69/1,040.73
6. Step 6: Final answer
   x = 1,150.09