Finding the Fourth Proportional to 1,432.30, 1,976.55 and 802.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.30 : 1,976.55 = 802.78 : x
2. Step 2: Convert to fraction form
   1,432.30/1,976.55 = 802.78/x
3. Step 3: Cross multiply
   1,432.30x = 1,976.55 × 802.78
4. Step 4: Simplify right side
   1,432.30x = 1,586,734.81
5. Step 5: Solve for x
   x = 1,586,734.81/1,432.30
6. Step 6: Final answer
   x = 1,107.82