Finding the Fourth Proportional to 1,432.38, 1,976.46 and 802.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.38 : 1,976.46 = 802.86 : x
2. Step 2: Convert to fraction form
   1,432.38/1,976.46 = 802.86/x
3. Step 3: Cross multiply
   1,432.38x = 1,976.46 × 802.86
4. Step 4: Simplify right side
   1,432.38x = 1,586,820.68
5. Step 5: Solve for x
   x = 1,586,820.68/1,432.38
6. Step 6: Final answer
   x = 1,107.82