Finding the Fourth Proportional to 2,549.24, 3,824.25 and 794.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.24 : 3,824.25 = 794.41 : x
2. Step 2: Convert to fraction form
   2,549.24/3,824.25 = 794.41/x
3. Step 3: Cross multiply
   2,549.24x = 3,824.25 × 794.41
4. Step 4: Simplify right side
   2,549.24x = 3,038,031.41
5. Step 5: Solve for x
   x = 3,038,031.41/2,549.24
6. Step 6: Final answer
   x = 1,191.74