Finding the Fourth Proportional to 6,427.83, 8,871.87 and 4,185.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,427.83 : 8,871.87 = 4,185.78 : x
2. Step 2: Convert to fraction form
   6,427.83/8,871.87 = 4,185.78/x
3. Step 3: Cross multiply
   6,427.83x = 8,871.87 × 4,185.78
4. Step 4: Simplify right side
   6,427.83x = 37,135,696.01
5. Step 5: Solve for x
   x = 37,135,696.01/6,427.83
6. Step 6: Final answer
   x = 5,777.33