Finding the Fourth Proportional to 1,183.59, 1,633.47 and 686.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.59 : 1,633.47 = 686.19 : x
2. Step 2: Convert to fraction form
   1,183.59/1,633.47 = 686.19/x
3. Step 3: Cross multiply
   1,183.59x = 1,633.47 × 686.19
4. Step 4: Simplify right side
   1,183.59x = 1,120,870.78
5. Step 5: Solve for x
   x = 1,120,870.78/1,183.59
6. Step 6: Final answer
   x = 947.01