Finding the Fourth Proportional to 3,789.63, 5,674.83 and 3,171.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.63 : 5,674.83 = 3,171.78 : x
2. Step 2: Convert to fraction form
   3,789.63/5,674.83 = 3,171.78/x
3. Step 3: Cross multiply
   3,789.63x = 5,674.83 × 3,171.78
4. Step 4: Simplify right side
   3,789.63x = 17,999,312.30
5. Step 5: Solve for x
   x = 17,999,312.30/3,789.63
6. Step 6: Final answer
   x = 4,749.62