Finding the Fourth Proportional to 1,181.56, 1,630.86 and 684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.56 : 1,630.86 = 684.50 : x
2. Step 2: Convert to fraction form
   1,181.56/1,630.86 = 684.50/x
3. Step 3: Cross multiply
   1,181.56x = 1,630.86 × 684.50
4. Step 4: Simplify right side
   1,181.56x = 1,116,323.67
5. Step 5: Solve for x
   x = 1,116,323.67/1,181.56
6. Step 6: Final answer
   x = 944.79