Finding the Fourth Proportional to 3,638.95, 5,022.41 and 2,146.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.95 : 5,022.41 = 2,146.78 : x
2. Step 2: Convert to fraction form
   3,638.95/5,022.41 = 2,146.78/x
3. Step 3: Cross multiply
   3,638.95x = 5,022.41 × 2,146.78
4. Step 4: Simplify right side
   3,638.95x = 10,782,009.34
5. Step 5: Solve for x
   x = 10,782,009.34/3,638.95
6. Step 6: Final answer
   x = 2,962.95