Finding the Fourth Proportional to 3,855.86, 5,782.83 and 3,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,855.86 : 5,782.83 = 3,162.50 : x
2. Step 2: Convert to fraction form
   3,855.86/5,782.83 = 3,162.50/x
3. Step 3: Cross multiply
   3,855.86x = 5,782.83 × 3,162.50
4. Step 4: Simplify right side
   3,855.86x = 18,288,199.88
5. Step 5: Solve for x
   x = 18,288,199.88/3,855.86
6. Step 6: Final answer
   x = 4,742.96