Finding the Fourth Proportional to 3,877.15, 5,814.69 and 1,685.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,877.15 : 5,814.69 = 1,685.37 : x
2. Step 2: Convert to fraction form
   3,877.15/5,814.69 = 1,685.37/x
3. Step 3: Cross multiply
   3,877.15x = 5,814.69 × 1,685.37
4. Step 4: Simplify right side
   3,877.15x = 9,799,904.09
5. Step 5: Solve for x
   x = 9,799,904.09/3,877.15
6. Step 6: Final answer
   x = 2,527.61