Finding the Fourth Proportional to 2,185.57, 3,013.47 and 1,785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.57 : 3,013.47 = 1,785.75 : x
2. Step 2: Convert to fraction form
   2,185.57/3,013.47 = 1,785.75/x
3. Step 3: Cross multiply
   2,185.57x = 3,013.47 × 1,785.75
4. Step 4: Simplify right side
   2,185.57x = 5,381,295.12
5. Step 5: Solve for x
   x = 5,381,295.12/2,185.57
6. Step 6: Final answer
   x = 2,462.19