Finding the Fourth Proportional to 1,435.62, 1,981.24 and 806.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.62 : 1,981.24 = 806.20 : x
2. Step 2: Convert to fraction form
   1,435.62/1,981.24 = 806.20/x
3. Step 3: Cross multiply
   1,435.62x = 1,981.24 × 806.20
4. Step 4: Simplify right side
   1,435.62x = 1,597,268.72
5. Step 5: Solve for x
   x = 1,597,268.72/1,435.62
6. Step 6: Final answer
   x = 1,112.60