Finding the Fourth Proportional to 6,822.59, 10,234.01 and 2,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822.59 : 10,234.01 = 2,142.50 : x
2. Step 2: Convert to fraction form
   6,822.59/10,234.01 = 2,142.50/x
3. Step 3: Cross multiply
   6,822.59x = 10,234.01 × 2,142.50
4. Step 4: Simplify right side
   6,822.59x = 21,926,304.54
5. Step 5: Solve for x
   x = 21,926,304.54/6,822.59
6. Step 6: Final answer
   x = 3,213.78