Finding the Fourth Proportional to 1,189.73, 1,783.67 and 367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.73 : 1,783.67 = 367.50 : x
2. Step 2: Convert to fraction form
   1,189.73/1,783.67 = 367.50/x
3. Step 3: Cross multiply
   1,189.73x = 1,783.67 × 367.50
4. Step 4: Simplify right side
   1,189.73x = 655,496.89
5. Step 5: Solve for x
   x = 655,496.89/1,189.73
6. Step 6: Final answer
   x = 550.97