Finding the Fourth Proportional to 3,699.49, 5,105.22 and 2,020.85

Step by Step Solution

1. Step 1: Write the proportion equation
   3,699.49 : 5,105.22 = 2,020.85 : x
2. Step 2: Convert to fraction form
   3,699.49/5,105.22 = 2,020.85/x
3. Step 3: Cross multiply
   3,699.49x = 5,105.22 × 2,020.85
4. Step 4: Simplify right side
   3,699.49x = 10,316,858.31
5. Step 5: Solve for x
   x = 10,316,858.31/3,699.49
6. Step 6: Final answer
   x = 2,788.73