Finding the Fourth Proportional to 3,627.56, 5,005.74 and 2,055.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,627.56 : 5,005.74 = 2,055.80 : x
2. Step 2: Convert to fraction form
   3,627.56/5,005.74 = 2,055.80/x
3. Step 3: Cross multiply
   3,627.56x = 5,005.74 × 2,055.80
4. Step 4: Simplify right side
   3,627.56x = 10,290,800.29
5. Step 5: Solve for x
   x = 10,290,800.29/3,627.56
6. Step 6: Final answer
   x = 2,836.84