Finding the Fourth Proportional to 2,140.98, 3,194.18 and 1,829.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140.98 : 3,194.18 = 1,829.22 : x
2. Step 2: Convert to fraction form
   2,140.98/3,194.18 = 1,829.22/x
3. Step 3: Cross multiply
   2,140.98x = 3,194.18 × 1,829.22
4. Step 4: Simplify right side
   2,140.98x = 5,842,848.79
5. Step 5: Solve for x
   x = 5,842,848.79/2,140.98
6. Step 6: Final answer
   x = 2,729.05