Finding the Fourth Proportional to 2,085.16, 2,877.50 and 1,140.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.16 : 2,877.50 = 1,140.94 : x
2. Step 2: Convert to fraction form
   2,085.16/2,877.50 = 1,140.94/x
3. Step 3: Cross multiply
   2,085.16x = 2,877.50 × 1,140.94
4. Step 4: Simplify right side
   2,085.16x = 3,283,049.23
5. Step 5: Solve for x
   x = 3,283,049.23/2,085.16
6. Step 6: Final answer
   x = 1,574.48