Finding the Fourth Proportional to 2,184.50, 3,014.56 and 1,189.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.50 : 3,014.56 = 1,189.80 : x
2. Step 2: Convert to fraction form
   2,184.50/3,014.56 = 1,189.80/x
3. Step 3: Cross multiply
   2,184.50x = 3,014.56 × 1,189.80
4. Step 4: Simplify right side
   2,184.50x = 3,586,723.49
5. Step 5: Solve for x
   x = 3,586,723.49/2,184.50
6. Step 6: Final answer
   x = 1,641.90