Finding the Fourth Proportional to 3,769.02, 5,200.76 and 2,090.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,769.02 : 5,200.76 = 2,090.42 : x
2. Step 2: Convert to fraction form
   3,769.02/5,200.76 = 2,090.42/x
3. Step 3: Cross multiply
   3,769.02x = 5,200.76 × 2,090.42
4. Step 4: Simplify right side
   3,769.02x = 10,871,772.72
5. Step 5: Solve for x
   x = 10,871,772.72/3,769.02
6. Step 6: Final answer
   x = 2,884.51