Finding the Fourth Proportional to 4,185.81, 5,770.64 and 4,056.41

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.81 : 5,770.64 = 4,056.41 : x
2. Step 2: Convert to fraction form
   4,185.81/5,770.64 = 4,056.41/x
3. Step 3: Cross multiply
   4,185.81x = 5,770.64 × 4,056.41
4. Step 4: Simplify right side
   4,185.81x = 23,408,106.37
5. Step 5: Solve for x
   x = 23,408,106.37/4,185.81
6. Step 6: Final answer
   x = 5,592.25