Finding the Fourth Proportional to 2,549.60, 3,825.12 and 1,510.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.60 : 3,825.12 = 1,510.52 : x
2. Step 2: Convert to fraction form
   2,549.60/3,825.12 = 1,510.52/x
3. Step 3: Cross multiply
   2,549.60x = 3,825.12 × 1,510.52
4. Step 4: Simplify right side
   2,549.60x = 5,777,920.26
5. Step 5: Solve for x
   x = 5,777,920.26/2,549.60
6. Step 6: Final answer
   x = 2,266.21