Finding the Fourth Proportional to 1,182.27, 1,631.55 and 684.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.27 : 1,631.55 = 684.95 : x
2. Step 2: Convert to fraction form
   1,182.27/1,631.55 = 684.95/x
3. Step 3: Cross multiply
   1,182.27x = 1,631.55 × 684.95
4. Step 4: Simplify right side
   1,182.27x = 1,117,522.01
5. Step 5: Solve for x
   x = 1,117,522.01/1,182.27
6. Step 6: Final answer
   x = 945.23