Finding the Fourth Proportional to 3,789.81, 5,684.67 and 1,016.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.81 : 5,684.67 = 1,016.40 : x
2. Step 2: Convert to fraction form
   3,789.81/5,684.67 = 1,016.40/x
3. Step 3: Cross multiply
   3,789.81x = 5,684.67 × 1,016.40
4. Step 4: Simplify right side
   3,789.81x = 5,777,898.59
5. Step 5: Solve for x
   x = 5,777,898.59/3,789.81
6. Step 6: Final answer
   x = 1,524.59