Finding the Fourth Proportional to 2,184.24, 3,014.22 and 1,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.24 : 3,014.22 = 1,189.50 : x
2. Step 2: Convert to fraction form
   2,184.24/3,014.22 = 1,189.50/x
3. Step 3: Cross multiply
   2,184.24x = 3,014.22 × 1,189.50
4. Step 4: Simplify right side
   2,184.24x = 3,585,414.69
5. Step 5: Solve for x
   x = 3,585,414.69/2,184.24
6. Step 6: Final answer
   x = 1,641.49