Finding the Fourth Proportional to 2,085.67, 2,877.94 and 1,189.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.67 : 2,877.94 = 1,189.08 : x
2. Step 2: Convert to fraction form
   2,085.67/2,877.94 = 1,189.08/x
3. Step 3: Cross multiply
   2,085.67x = 2,877.94 × 1,189.08
4. Step 4: Simplify right side
   2,085.67x = 3,422,100.90
5. Step 5: Solve for x
   x = 3,422,100.90/2,085.67
6. Step 6: Final answer
   x = 1,640.77