Finding the Fourth Proportional to 2,085.24, 2,877.72 and 1,141.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.24 : 2,877.72 = 1,141.07 : x
2. Step 2: Convert to fraction form
   2,085.24/2,877.72 = 1,141.07/x
3. Step 3: Cross multiply
   2,085.24x = 2,877.72 × 1,141.07
4. Step 4: Simplify right side
   2,085.24x = 3,283,661.29
5. Step 5: Solve for x
   x = 3,283,661.29/2,085.24
6. Step 6: Final answer
   x = 1,574.71