Finding the Fourth Proportional to 1,432.24, 1,976.38 and 802.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.24 : 1,976.38 = 802.72 : x
2. Step 2: Convert to fraction form
   1,432.24/1,976.38 = 802.72/x
3. Step 3: Cross multiply
   1,432.24x = 1,976.38 × 802.72
4. Step 4: Simplify right side
   1,432.24x = 1,586,479.75
5. Step 5: Solve for x
   x = 1,586,479.75/1,432.24
6. Step 6: Final answer
   x = 1,107.69