Finding the Fourth Proportional to 3,768.60, 5,200.68 and 2,090.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.60 : 5,200.68 = 2,090.10 : x
2. Step 2: Convert to fraction form
   3,768.60/5,200.68 = 2,090.10/x
3. Step 3: Cross multiply
   3,768.60x = 5,200.68 × 2,090.10
4. Step 4: Simplify right side
   3,768.60x = 10,869,941.27
5. Step 5: Solve for x
   x = 10,869,941.27/3,768.60
6. Step 6: Final answer
   x = 2,884.34