Finding the Fourth Proportional to 2,105.64, 2,902.50 and 1,687.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.64 : 2,902.50 = 1,687.68 : x
2. Step 2: Convert to fraction form
   2,105.64/2,902.50 = 1,687.68/x
3. Step 3: Cross multiply
   2,105.64x = 2,902.50 × 1,687.68
4. Step 4: Simplify right side
   2,105.64x = 4,898,491.20
5. Step 5: Solve for x
   x = 4,898,491.20/2,105.64
6. Step 6: Final answer
   x = 2,326.37