Finding the Fourth Proportional to 1,902.32, 2,853.69 and 806.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,902.32 : 2,853.69 = 806.78 : x
2. Step 2: Convert to fraction form
   1,902.32/2,853.69 = 806.78/x
3. Step 3: Cross multiply
   1,902.32x = 2,853.69 × 806.78
4. Step 4: Simplify right side
   1,902.32x = 2,302,300.02
5. Step 5: Solve for x
   x = 2,302,300.02/1,902.32
6. Step 6: Final answer
   x = 1,210.26