Finding the Fourth Proportional to 2,535.86, 3,804.12 and 892.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.86 : 3,804.12 = 892.10 : x
2. Step 2: Convert to fraction form
   2,535.86/3,804.12 = 892.10/x
3. Step 3: Cross multiply
   2,535.86x = 3,804.12 × 892.10
4. Step 4: Simplify right side
   2,535.86x = 3,393,636.43
5. Step 5: Solve for x
   x = 3,393,636.43/2,535.86
6. Step 6: Final answer
   x = 1,338.26