Finding the Fourth Proportional to 4,142.76, 6,212.31 and 2,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,142.76 : 6,212.31 = 2,194.50 : x
2. Step 2: Convert to fraction form
   4,142.76/6,212.31 = 2,194.50/x
3. Step 3: Cross multiply
   4,142.76x = 6,212.31 × 2,194.50
4. Step 4: Simplify right side
   4,142.76x = 13,632,914.30
5. Step 5: Solve for x
   x = 13,632,914.30/4,142.76
6. Step 6: Final answer
   x = 3,290.78