Finding the Fourth Proportional to 2,536.11, 3,804.77 and 892.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.11 : 3,804.77 = 892.82 : x
2. Step 2: Convert to fraction form
   2,536.11/3,804.77 = 892.82/x
3. Step 3: Cross multiply
   2,536.11x = 3,804.77 × 892.82
4. Step 4: Simplify right side
   2,536.11x = 3,396,986.50
5. Step 5: Solve for x
   x = 3,396,986.50/2,536.11
6. Step 6: Final answer
   x = 1,339.45