Finding the Fourth Proportional to 3,766.56, 5,645.75 and 1,683.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.56 : 5,645.75 = 1,683.69 : x
2. Step 2: Convert to fraction form
   3,766.56/5,645.75 = 1,683.69/x
3. Step 3: Cross multiply
   3,766.56x = 5,645.75 × 1,683.69
4. Step 4: Simplify right side
   3,766.56x = 9,505,692.82
5. Step 5: Solve for x
   x = 9,505,692.82/3,766.56
6. Step 6: Final answer
   x = 2,523.71