Finding the Fourth Proportional to 3,678.61, 5,076.46 and 2,085.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.61 : 5,076.46 = 2,085.56 : x
2. Step 2: Convert to fraction form
   3,678.61/5,076.46 = 2,085.56/x
3. Step 3: Cross multiply
   3,678.61x = 5,076.46 × 2,085.56
4. Step 4: Simplify right side
   3,678.61x = 10,587,281.89
5. Step 5: Solve for x
   x = 10,587,281.89/3,678.61
6. Step 6: Final answer
   x = 2,878.06