Finding the Fourth Proportional to 2,549.48, 3,826.78 and 1,510.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.48 : 3,826.78 = 1,510.52 : x
2. Step 2: Convert to fraction form
   2,549.48/3,826.78 = 1,510.52/x
3. Step 3: Cross multiply
   2,549.48x = 3,826.78 × 1,510.52
4. Step 4: Simplify right side
   2,549.48x = 5,780,404.82
5. Step 5: Solve for x
   x = 5,780,404.82/2,549.48
6. Step 6: Final answer
   x = 2,267.29