Finding the Fourth Proportional to 1,182.09, 1,631.01 and 684.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.09 : 1,631.01 = 684.61 : x
2. Step 2: Convert to fraction form
   1,182.09/1,631.01 = 684.61/x
3. Step 3: Cross multiply
   1,182.09x = 1,631.01 × 684.61
4. Step 4: Simplify right side
   1,182.09x = 1,116,605.76
5. Step 5: Solve for x
   x = 1,116,605.76/1,182.09
6. Step 6: Final answer
   x = 944.61