Finding the Fourth Proportional to 2,549.50, 3,824.84 and 794.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.50 : 3,824.84 = 794.42 : x
2. Step 2: Convert to fraction form
   2,549.50/3,824.84 = 794.42/x
3. Step 3: Cross multiply
   2,549.50x = 3,824.84 × 794.42
4. Step 4: Simplify right side
   2,549.50x = 3,038,529.39
5. Step 5: Solve for x
   x = 3,038,529.39/2,549.50
6. Step 6: Final answer
   x = 1,191.81