Finding the Fourth Proportional to 2,184.31, 3,014.36 and 1,189.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.31 : 3,014.36 = 1,189.59 : x
2. Step 2: Convert to fraction form
   2,184.31/3,014.36 = 1,189.59/x
3. Step 3: Cross multiply
   2,184.31x = 3,014.36 × 1,189.59
4. Step 4: Simplify right side
   2,184.31x = 3,585,852.51
5. Step 5: Solve for x
   x = 3,585,852.51/2,184.31
6. Step 6: Final answer
   x = 1,641.64