Finding the Fourth Proportional to 3,768.81, 5,200.70 and 2,090.29

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.81 : 5,200.70 = 2,090.29 : x
2. Step 2: Convert to fraction form
   3,768.81/5,200.70 = 2,090.29/x
3. Step 3: Cross multiply
   3,768.81x = 5,200.70 × 2,090.29
4. Step 4: Simplify right side
   3,768.81x = 10,870,955.59
5. Step 5: Solve for x
   x = 10,870,955.59/3,768.81
6. Step 6: Final answer
   x = 2,884.45