Finding the Fourth Proportional to 2,184.42, 3,014.55 and 1,189.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.42 : 3,014.55 = 1,189.77 : x
2. Step 2: Convert to fraction form
   2,184.42/3,014.55 = 1,189.77/x
3. Step 3: Cross multiply
   2,184.42x = 3,014.55 × 1,189.77
4. Step 4: Simplify right side
   2,184.42x = 3,586,621.15
5. Step 5: Solve for x
   x = 3,586,621.15/2,184.42
6. Step 6: Final answer
   x = 1,641.91