Finding the Fourth Proportional to 3,816.50, 5,726.91 and 1,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,816.50 : 5,726.91 = 1,764.50 : x
2. Step 2: Convert to fraction form
   3,816.50/5,726.91 = 1,764.50/x
3. Step 3: Cross multiply
   3,816.50x = 5,726.91 × 1,764.50
4. Step 4: Simplify right side
   3,816.50x = 10,105,132.70
5. Step 5: Solve for x
   x = 10,105,132.70/3,816.50
6. Step 6: Final answer
   x = 2,647.75