Finding the Fourth Proportional to 2,102.15, 3,164.18 and 1,785.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102.15 : 3,164.18 = 1,785.03 : x
2. Step 2: Convert to fraction form
   2,102.15/3,164.18 = 1,785.03/x
3. Step 3: Cross multiply
   2,102.15x = 3,164.18 × 1,785.03
4. Step 4: Simplify right side
   2,102.15x = 5,648,147.30
5. Step 5: Solve for x
   x = 5,648,147.30/2,102.15
6. Step 6: Final answer
   x = 2,686.85