Finding the Fourth Proportional to 2,091.06, 3,138.12 and 1,685.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.06 : 3,138.12 = 1,685.09 : x
2. Step 2: Convert to fraction form
   2,091.06/3,138.12 = 1,685.09/x
3. Step 3: Cross multiply
   2,091.06x = 3,138.12 × 1,685.09
4. Step 4: Simplify right side
   2,091.06x = 5,288,022.48
5. Step 5: Solve for x
   x = 5,288,022.48/2,091.06
6. Step 6: Final answer
   x = 2,528.87