Finding the Fourth Proportional to 1,183.76, 1,633.57 and 659.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.76 : 1,633.57 = 659.82 : x
2. Step 2: Convert to fraction form
   1,183.76/1,633.57 = 659.82/x
3. Step 3: Cross multiply
   1,183.76x = 1,633.57 × 659.82
4. Step 4: Simplify right side
   1,183.76x = 1,077,862.16
5. Step 5: Solve for x
   x = 1,077,862.16/1,183.76
6. Step 6: Final answer
   x = 910.54