Finding the Fourth Proportional to 2,085.07, 2,877.30 and 1,140.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.07 : 2,877.30 = 1,140.85 : x
2. Step 2: Convert to fraction form
   2,085.07/2,877.30 = 1,140.85/x
3. Step 3: Cross multiply
   2,085.07x = 2,877.30 × 1,140.85
4. Step 4: Simplify right side
   2,085.07x = 3,282,567.71
5. Step 5: Solve for x
   x = 3,282,567.71/2,085.07
6. Step 6: Final answer
   x = 1,574.32