Finding the Fourth Proportional to 1,107.83, 1,661.69 and 286.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,107.83 : 1,661.69 = 286.10 : x
2. Step 2: Convert to fraction form
   1,107.83/1,661.69 = 286.10/x
3. Step 3: Cross multiply
   1,107.83x = 1,661.69 × 286.10
4. Step 4: Simplify right side
   1,107.83x = 475,399.77
5. Step 5: Solve for x
   x = 475,399.77/1,107.83
6. Step 6: Final answer
   x = 429.13