Finding the Fourth Proportional to 1,181.97, 1,631.27 and 684.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.97 : 1,631.27 = 684.77 : x
2. Step 2: Convert to fraction form
   1,181.97/1,631.27 = 684.77/x
3. Step 3: Cross multiply
   1,181.97x = 1,631.27 × 684.77
4. Step 4: Simplify right side
   1,181.97x = 1,117,038.31
5. Step 5: Solve for x
   x = 1,117,038.31/1,181.97
6. Step 6: Final answer
   x = 945.06