Finding the Fourth Proportional to 2,567.78, 3,849.82 and 1,525.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.78 : 3,849.82 = 1,525.30 : x
2. Step 2: Convert to fraction form
   2,567.78/3,849.82 = 1,525.30/x
3. Step 3: Cross multiply
   2,567.78x = 3,849.82 × 1,525.30
4. Step 4: Simplify right side
   2,567.78x = 5,872,130.45
5. Step 5: Solve for x
   x = 5,872,130.45/2,567.78
6. Step 6: Final answer
   x = 2,286.85