Finding the Fourth Proportional to 2,085.78, 2,878.38 and 1,141.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.78 : 2,878.38 = 1,141.65 : x
2. Step 2: Convert to fraction form
   2,085.78/2,878.38 = 1,141.65/x
3. Step 3: Cross multiply
   2,085.78x = 2,878.38 × 1,141.65
4. Step 4: Simplify right side
   2,085.78x = 3,286,102.53
5. Step 5: Solve for x
   x = 3,286,102.53/2,085.78
6. Step 6: Final answer
   x = 1,575.48