Finding the Fourth Proportional to 3,768.34, 5,200.52 and 2,089.95

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.34 : 5,200.52 = 2,089.95 : x
2. Step 2: Convert to fraction form
   3,768.34/5,200.52 = 2,089.95/x
3. Step 3: Cross multiply
   3,768.34x = 5,200.52 × 2,089.95
4. Step 4: Simplify right side
   3,768.34x = 10,868,826.77
5. Step 5: Solve for x
   x = 10,868,826.77/3,768.34
6. Step 6: Final answer
   x = 2,884.25