Finding the Fourth Proportional to 2,536.47, 3,805.38 and 892.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.47 : 3,805.38 = 892.80 : x
2. Step 2: Convert to fraction form
   2,536.47/3,805.38 = 892.80/x
3. Step 3: Cross multiply
   2,536.47x = 3,805.38 × 892.80
4. Step 4: Simplify right side
   2,536.47x = 3,397,443.26
5. Step 5: Solve for x
   x = 3,397,443.26/2,536.47
6. Step 6: Final answer
   x = 1,339.44