Finding the Fourth Proportional to 3,817.50, 5,728.41 and 1,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,817.50 : 5,728.41 = 1,765.50 : x
2. Step 2: Convert to fraction form
   3,817.50/5,728.41 = 1,765.50/x
3. Step 3: Cross multiply
   3,817.50x = 5,728.41 × 1,765.50
4. Step 4: Simplify right side
   3,817.50x = 10,113,507.86
5. Step 5: Solve for x
   x = 10,113,507.86/3,817.50
6. Step 6: Final answer
   x = 2,649.25