Finding the Fourth Proportional to 2,785.52, 3,846.60 and 2,085.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.52 : 3,846.60 = 2,085.68 : x
2. Step 2: Convert to fraction form
   2,785.52/3,846.60 = 2,085.68/x
3. Step 3: Cross multiply
   2,785.52x = 3,846.60 × 2,085.68
4. Step 4: Simplify right side
   2,785.52x = 8,022,776.69
5. Step 5: Solve for x
   x = 8,022,776.69/2,785.52
6. Step 6: Final answer
   x = 2,880.17