Finding the Fourth Proportional to 3,678.50, 5,076.34 and 2,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.50 : 5,076.34 = 2,022.50 : x
2. Step 2: Convert to fraction form
   3,678.50/5,076.34 = 2,022.50/x
3. Step 3: Cross multiply
   3,678.50x = 5,076.34 × 2,022.50
4. Step 4: Simplify right side
   3,678.50x = 10,266,897.65
5. Step 5: Solve for x
   x = 10,266,897.65/3,678.50
6. Step 6: Final answer
   x = 2,791.06