Finding the Fourth Proportional to 1,183.89, 1,633.77 and 686.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.89 : 1,633.77 = 686.82 : x
2. Step 2: Convert to fraction form
   1,183.89/1,633.77 = 686.82/x
3. Step 3: Cross multiply
   1,183.89x = 1,633.77 × 686.82
4. Step 4: Simplify right side
   1,183.89x = 1,122,102.48
5. Step 5: Solve for x
   x = 1,122,102.48/1,183.89
6. Step 6: Final answer
   x = 947.81