Finding the Fourth Proportional to 3,627.98, 5,006.56 and 2,034.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,627.98 : 5,006.56 = 2,034.62 : x
2. Step 2: Convert to fraction form
   3,627.98/5,006.56 = 2,034.62/x
3. Step 3: Cross multiply
   3,627.98x = 5,006.56 × 2,034.62
4. Step 4: Simplify right side
   3,627.98x = 10,186,436.93
5. Step 5: Solve for x
   x = 10,186,436.93/3,627.98
6. Step 6: Final answer
   x = 2,807.74