Finding the Fourth Proportional to 2,538.78, 3,808.17 and 894.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.78 : 3,808.17 = 894.42 : x
2. Step 2: Convert to fraction form
   2,538.78/3,808.17 = 894.42/x
3. Step 3: Cross multiply
   2,538.78x = 3,808.17 × 894.42
4. Step 4: Simplify right side
   2,538.78x = 3,406,103.41
5. Step 5: Solve for x
   x = 3,406,103.41/2,538.78
6. Step 6: Final answer
   x = 1,341.63