Finding the Fourth Proportional to 1,498.24, 2,243.16 and 766.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.24 : 2,243.16 = 766.24 : x
2. Step 2: Convert to fraction form
   1,498.24/2,243.16 = 766.24/x
3. Step 3: Cross multiply
   1,498.24x = 2,243.16 × 766.24
4. Step 4: Simplify right side
   1,498.24x = 1,718,798.92
5. Step 5: Solve for x
   x = 1,718,798.92/1,498.24
6. Step 6: Final answer
   x = 1,147.21