Finding the Fourth Proportional to 2,065.85, 2,842.42 and 1,785.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.85 : 2,842.42 = 1,785.19 : x
2. Step 2: Convert to fraction form
   2,065.85/2,842.42 = 1,785.19/x
3. Step 3: Cross multiply
   2,065.85x = 2,842.42 × 1,785.19
4. Step 4: Simplify right side
   2,065.85x = 5,074,245.55
5. Step 5: Solve for x
   x = 5,074,245.55/2,065.85
6. Step 6: Final answer
   x = 2,456.25