Finding the Fourth Proportional to 3,769.00, 5,200.79 and 2,090.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,769.00 : 5,200.79 = 2,090.25 : x
2. Step 2: Convert to fraction form
   3,769.00/5,200.79 = 2,090.25/x
3. Step 3: Cross multiply
   3,769.00x = 5,200.79 × 2,090.25
4. Step 4: Simplify right side
   3,769.00x = 10,870,956.52
5. Step 5: Solve for x
   x = 10,870,956.52/3,769.00
6. Step 6: Final answer
   x = 2,884.31