Finding the Fourth Proportional to 2,536.53, 3,805.38 and 892.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.53 : 3,805.38 = 892.59 : x
2. Step 2: Convert to fraction form
   2,536.53/3,805.38 = 892.59/x
3. Step 3: Cross multiply
   2,536.53x = 3,805.38 × 892.59
4. Step 4: Simplify right side
   2,536.53x = 3,396,644.13
5. Step 5: Solve for x
   x = 3,396,644.13/2,536.53
6. Step 6: Final answer
   x = 1,339.09