Finding the Fourth Proportional to 2,549.82, 3,824.16 and 989.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.82 : 3,824.16 = 989.76 : x
2. Step 2: Convert to fraction form
   2,549.82/3,824.16 = 989.76/x
3. Step 3: Cross multiply
   2,549.82x = 3,824.16 × 989.76
4. Step 4: Simplify right side
   2,549.82x = 3,785,000.60
5. Step 5: Solve for x
   x = 3,785,000.60/2,549.82
6. Step 6: Final answer
   x = 1,484.42