Finding the Fourth Proportional to 3,767.09, 5,198.50 and 2,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.09 : 5,198.50 = 2,065.50 : x
2. Step 2: Convert to fraction form
   3,767.09/5,198.50 = 2,065.50/x
3. Step 3: Cross multiply
   3,767.09x = 5,198.50 × 2,065.50
4. Step 4: Simplify right side
   3,767.09x = 10,737,492.71
5. Step 5: Solve for x
   x = 10,737,492.71/3,767.09
6. Step 6: Final answer
   x = 2,850.34