Finding the Fourth Proportional to 3,877.64, 5,786.50 and 3,462.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,877.64 : 5,786.50 = 3,462.32 : x
2. Step 2: Convert to fraction form
   3,877.64/5,786.50 = 3,462.32/x
3. Step 3: Cross multiply
   3,877.64x = 5,786.50 × 3,462.32
4. Step 4: Simplify right side
   3,877.64x = 20,034,714.68
5. Step 5: Solve for x
   x = 20,034,714.68/3,877.64
6. Step 6: Final answer
   x = 5,166.73