Finding the Fourth Proportional to 3,627.80, 5,006.34 and 2,055.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,627.80 : 5,006.34 = 2,055.89 : x
2. Step 2: Convert to fraction form
   3,627.80/5,006.34 = 2,055.89/x
3. Step 3: Cross multiply
   3,627.80x = 5,006.34 × 2,055.89
4. Step 4: Simplify right side
   3,627.80x = 10,292,496.86
5. Step 5: Solve for x
   x = 10,292,496.86/3,627.80
6. Step 6: Final answer
   x = 2,837.12