Finding the Fourth Proportional to 2,085.41, 2,877.80 and 1,141.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.41 : 2,877.80 = 1,141.20 : x
2. Step 2: Convert to fraction form
   2,085.41/2,877.80 = 1,141.20/x
3. Step 3: Cross multiply
   2,085.41x = 2,877.80 × 1,141.20
4. Step 4: Simplify right side
   2,085.41x = 3,284,139.65
5. Step 5: Solve for x
   x = 3,284,139.65/2,085.41
6. Step 6: Final answer
   x = 1,574.82