Finding the Fourth Proportional to 3,843.50, 5,768.49 and 1,535

Step by Step Solution

1. Step 1: Write the proportion equation
   3,843.50 : 5,768.49 = 1,535 : x
2. Step 2: Convert to fraction form
   3,843.50/5,768.49 = 1,535/x
3. Step 3: Cross multiply
   3,843.50x = 5,768.49 × 1,535
4. Step 4: Simplify right side
   3,843.50x = 8,854,632.15
5. Step 5: Solve for x
   x = 8,854,632.15/3,843.50
6. Step 6: Final answer
   x = 2,303.79