Finding the Fourth Proportional to 3,678.42, 5,076.18 and 2,085.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.42 : 5,076.18 = 2,085.24 : x
2. Step 2: Convert to fraction form
   3,678.42/5,076.18 = 2,085.24/x
3. Step 3: Cross multiply
   3,678.42x = 5,076.18 × 2,085.24
4. Step 4: Simplify right side
   3,678.42x = 10,585,053.58
5. Step 5: Solve for x
   x = 10,585,053.58/3,678.42
6. Step 6: Final answer
   x = 2,877.61