Finding the Fourth Proportional to 3,846.82, 5,771.67 and 1,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.82 : 5,771.67 = 1,538.50 : x
2. Step 2: Convert to fraction form
   3,846.82/5,771.67 = 1,538.50/x
3. Step 3: Cross multiply
   3,846.82x = 5,771.67 × 1,538.50
4. Step 4: Simplify right side
   3,846.82x = 8,879,714.30
5. Step 5: Solve for x
   x = 8,879,714.30/3,846.82
6. Step 6: Final answer
   x = 2,308.33