Finding the Fourth Proportional to 1,185.82, 1,778.82 and 320.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.82 : 1,778.82 = 320.12 : x
2. Step 2: Convert to fraction form
   1,185.82/1,778.82 = 320.12/x
3. Step 3: Cross multiply
   1,185.82x = 1,778.82 × 320.12
4. Step 4: Simplify right side
   1,185.82x = 569,435.86
5. Step 5: Solve for x
   x = 569,435.86/1,185.82
6. Step 6: Final answer
   x = 480.20