Finding the Fourth Proportional to 2,096.05, 3,141.64 and 1,685.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.05 : 3,141.64 = 1,685.65 : x
2. Step 2: Convert to fraction form
   2,096.05/3,141.64 = 1,685.65/x
3. Step 3: Cross multiply
   2,096.05x = 3,141.64 × 1,685.65
4. Step 4: Simplify right side
   2,096.05x = 5,295,705.47
5. Step 5: Solve for x
   x = 5,295,705.47/2,096.05
6. Step 6: Final answer
   x = 2,526.52