Finding the Fourth Proportional to 1,152.24, 1,589.72 and 802.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.24 : 1,589.72 = 802.80 : x
2. Step 2: Convert to fraction form
   1,152.24/1,589.72 = 802.80/x
3. Step 3: Cross multiply
   1,152.24x = 1,589.72 × 802.80
4. Step 4: Simplify right side
   1,152.24x = 1,276,227.22
5. Step 5: Solve for x
   x = 1,276,227.22/1,152.24
6. Step 6: Final answer
   x = 1,107.61