Finding the Fourth Proportional to 1,183.90, 1,633.77 and 659.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.90 : 1,633.77 = 659.98 : x
2. Step 2: Convert to fraction form
   1,183.90/1,633.77 = 659.98/x
3. Step 3: Cross multiply
   1,183.90x = 1,633.77 × 659.98
4. Step 4: Simplify right side
   1,183.90x = 1,078,255.52
5. Step 5: Solve for x
   x = 1,078,255.52/1,183.90
6. Step 6: Final answer
   x = 910.77