Finding the Fourth Proportional to 4,114.34, 6,171.37 and 1,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,114.34 : 6,171.37 = 1,648.50 : x
2. Step 2: Convert to fraction form
   4,114.34/6,171.37 = 1,648.50/x
3. Step 3: Cross multiply
   4,114.34x = 6,171.37 × 1,648.50
4. Step 4: Simplify right side
   4,114.34x = 10,173,503.45
5. Step 5: Solve for x
   x = 10,173,503.45/4,114.34
6. Step 6: Final answer
   x = 2,472.69