Finding the Fourth Proportional to 2,566.86, 3,850.38 and 835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.86 : 3,850.38 = 835.50 : x
2. Step 2: Convert to fraction form
   2,566.86/3,850.38 = 835.50/x
3. Step 3: Cross multiply
   2,566.86x = 3,850.38 × 835.50
4. Step 4: Simplify right side
   2,566.86x = 3,216,992.49
5. Step 5: Solve for x
   x = 3,216,992.49/2,566.86
6. Step 6: Final answer
   x = 1,253.28