Finding the Fourth Proportional to 2,549.78, 3,829.10 and 1,516.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.78 : 3,829.10 = 1,516.30 : x
2. Step 2: Convert to fraction form
   2,549.78/3,829.10 = 1,516.30/x
3. Step 3: Cross multiply
   2,549.78x = 3,829.10 × 1,516.30
4. Step 4: Simplify right side
   2,549.78x = 5,806,064.33
5. Step 5: Solve for x
   x = 5,806,064.33/2,549.78
6. Step 6: Final answer
   x = 2,277.08