Finding the Fourth Proportional to 3,678.72, 5,076.66 and 2,085.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.72 : 5,076.66 = 2,085.42 : x
2. Step 2: Convert to fraction form
   3,678.72/5,076.66 = 2,085.42/x
3. Step 3: Cross multiply
   3,678.72x = 5,076.66 × 2,085.42
4. Step 4: Simplify right side
   3,678.72x = 10,586,995.16
5. Step 5: Solve for x
   x = 10,586,995.16/3,678.72
6. Step 6: Final answer
   x = 2,877.90