Finding the Fourth Proportional to 2,549.61, 3,823.81 and 989.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.61 : 3,823.81 = 989.82 : x
2. Step 2: Convert to fraction form
   2,549.61/3,823.81 = 989.82/x
3. Step 3: Cross multiply
   2,549.61x = 3,823.81 × 989.82
4. Step 4: Simplify right side
   2,549.61x = 3,784,881.14
5. Step 5: Solve for x
   x = 3,784,881.14/2,549.61
6. Step 6: Final answer
   x = 1,484.49