Finding the Fourth Proportional to 2,549.82, 3,823.65 and 906.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.82 : 3,823.65 = 906.78 : x
2. Step 2: Convert to fraction form
   2,549.82/3,823.65 = 906.78/x
3. Step 3: Cross multiply
   2,549.82x = 3,823.65 × 906.78
4. Step 4: Simplify right side
   2,549.82x = 3,467,209.35
5. Step 5: Solve for x
   x = 3,467,209.35/2,549.82
6. Step 6: Final answer
   x = 1,359.79