Finding the Fourth Proportional to 1,435.78, 1,981.47 and 806.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.78 : 1,981.47 = 806.32 : x
2. Step 2: Convert to fraction form
   1,435.78/1,981.47 = 806.32/x
3. Step 3: Cross multiply
   1,435.78x = 1,981.47 × 806.32
4. Step 4: Simplify right side
   1,435.78x = 1,597,698.89
5. Step 5: Solve for x
   x = 1,597,698.89/1,435.78
6. Step 6: Final answer
   x = 1,112.77