Finding the Fourth Proportional to 3,811.56, 5,692.69 and 3,786.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,811.56 : 5,692.69 = 3,786.76 : x
2. Step 2: Convert to fraction form
   3,811.56/5,692.69 = 3,786.76/x
3. Step 3: Cross multiply
   3,811.56x = 5,692.69 × 3,786.76
4. Step 4: Simplify right side
   3,811.56x = 21,556,850.78
5. Step 5: Solve for x
   x = 21,556,850.78/3,811.56
6. Step 6: Final answer
   x = 5,655.65