Finding the Fourth Proportional to 1,185.69, 1,778.52 and 320.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.69 : 1,778.52 = 320.00 : x
2. Step 2: Convert to fraction form
   1,185.69/1,778.52 = 320.00/x
3. Step 3: Cross multiply
   1,185.69x = 1,778.52 × 320.00
4. Step 4: Simplify right side
   1,185.69x = 569,128.71
5. Step 5: Solve for x
   x = 569,128.71/1,185.69
6. Step 6: Final answer
   x = 480.00