Finding the Fourth Proportional to 3,768.52, 5,200.42 and 2,090

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.52 : 5,200.42 = 2,090 : x
2. Step 2: Convert to fraction form
   3,768.52/5,200.42 = 2,090/x
3. Step 3: Cross multiply
   3,768.52x = 5,200.42 × 2,090
4. Step 4: Simplify right side
   3,768.52x = 10,868,877.80
5. Step 5: Solve for x
   x = 10,868,877.80/3,768.52
6. Step 6: Final answer
   x = 2,884.12