Finding the Fourth Proportional to 2,806.23, 3,872.10 and 1,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,806.23 : 3,872.10 = 1,969.50 : x
2. Step 2: Convert to fraction form
   2,806.23/3,872.10 = 1,969.50/x
3. Step 3: Cross multiply
   2,806.23x = 3,872.10 × 1,969.50
4. Step 4: Simplify right side
   2,806.23x = 7,626,100.95
5. Step 5: Solve for x
   x = 7,626,100.95/2,806.23
6. Step 6: Final answer
   x = 2,717.56