Finding the Fourth Proportional to 3,454.50, 5,182.38 and 3,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,454.50 : 5,182.38 = 3,141.50 : x
2. Step 2: Convert to fraction form
   3,454.50/5,182.38 = 3,141.50/x
3. Step 3: Cross multiply
   3,454.50x = 5,182.38 × 3,141.50
4. Step 4: Simplify right side
   3,454.50x = 16,280,420.86
5. Step 5: Solve for x
   x = 16,280,420.86/3,454.50
6. Step 6: Final answer
   x = 4,712.82