Finding the Fourth Proportional to 3,877.14, 5,785.76 and 3,461.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,877.14 : 5,785.76 = 3,461.82 : x
2. Step 2: Convert to fraction form
   3,877.14/5,785.76 = 3,461.82/x
3. Step 3: Cross multiply
   3,877.14x = 5,785.76 × 3,461.82
4. Step 4: Simplify right side
   3,877.14x = 20,029,242.37
5. Step 5: Solve for x
   x = 20,029,242.37/3,877.14
6. Step 6: Final answer
   x = 5,165.98