Finding the Fourth Proportional to 3,789.67, 5,682.69 and 2,145.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.67 : 5,682.69 = 2,145.78 : x
2. Step 2: Convert to fraction form
   3,789.67/5,682.69 = 2,145.78/x
3. Step 3: Cross multiply
   3,789.67x = 5,682.69 × 2,145.78
4. Step 4: Simplify right side
   3,789.67x = 12,193,802.55
5. Step 5: Solve for x
   x = 12,193,802.55/3,789.67
6. Step 6: Final answer
   x = 3,217.64