Finding the Fourth Proportional to 2,085.50, 2,877.84 and 1,189.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.50 : 2,877.84 = 1,189.13 : x
2. Step 2: Convert to fraction form
   2,085.50/2,877.84 = 1,189.13/x
3. Step 3: Cross multiply
   2,085.50x = 2,877.84 × 1,189.13
4. Step 4: Simplify right side
   2,085.50x = 3,422,111.49
5. Step 5: Solve for x
   x = 3,422,111.49/2,085.50
6. Step 6: Final answer
   x = 1,640.91