Finding the Fourth Proportional to 2,184.40, 3,014.42 and 1,189.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.40 : 3,014.42 = 1,189.69 : x
2. Step 2: Convert to fraction form
   2,184.40/3,014.42 = 1,189.69/x
3. Step 3: Cross multiply
   2,184.40x = 3,014.42 × 1,189.69
4. Step 4: Simplify right side
   2,184.40x = 3,586,211.85
5. Step 5: Solve for x
   x = 3,586,211.85/2,184.40
6. Step 6: Final answer
   x = 1,641.74