Finding the Fourth Proportional to 3,768.52, 5,200.16 and 2,089.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.52 : 5,200.16 = 2,089.48 : x
2. Step 2: Convert to fraction form
   3,768.52/5,200.16 = 2,089.48/x
3. Step 3: Cross multiply
   3,768.52x = 5,200.16 × 2,089.48
4. Step 4: Simplify right side
   3,768.52x = 10,865,630.32
5. Step 5: Solve for x
   x = 10,865,630.32/3,768.52
6. Step 6: Final answer
   x = 2,883.26