Finding the Fourth Proportional to 1,150.48, 1,589.52 and 802.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.48 : 1,589.52 = 802.72 : x
2. Step 2: Convert to fraction form
   1,150.48/1,589.52 = 802.72/x
3. Step 3: Cross multiply
   1,150.48x = 1,589.52 × 802.72
4. Step 4: Simplify right side
   1,150.48x = 1,275,939.49
5. Step 5: Solve for x
   x = 1,275,939.49/1,150.48
6. Step 6: Final answer
   x = 1,109.05