Finding the Fourth Proportional to 1,183.72, 1,633.46 and 659.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.72 : 1,633.46 = 659.82 : x
2. Step 2: Convert to fraction form
   1,183.72/1,633.46 = 659.82/x
3. Step 3: Cross multiply
   1,183.72x = 1,633.46 × 659.82
4. Step 4: Simplify right side
   1,183.72x = 1,077,789.58
5. Step 5: Solve for x
   x = 1,077,789.58/1,183.72
6. Step 6: Final answer
   x = 910.51