Finding the Fourth Proportional to 1,853.25, 2,556.27 and 1,189.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.25 : 2,556.27 = 1,189.05 : x
2. Step 2: Convert to fraction form
   1,853.25/2,556.27 = 1,189.05/x
3. Step 3: Cross multiply
   1,853.25x = 2,556.27 × 1,189.05
4. Step 4: Simplify right side
   1,853.25x = 3,039,532.84
5. Step 5: Solve for x
   x = 3,039,532.84/1,853.25
6. Step 6: Final answer
   x = 1,640.11