Finding the Fourth Proportional to 2,548.77, 3,825.86 and 2,142.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,548.77 : 3,825.86 = 2,142.30 : x
2. Step 2: Convert to fraction form
   2,548.77/3,825.86 = 2,142.30/x
3. Step 3: Cross multiply
   2,548.77x = 3,825.86 × 2,142.30
4. Step 4: Simplify right side
   2,548.77x = 8,196,129.17
5. Step 5: Solve for x
   x = 8,196,129.17/2,548.77
6. Step 6: Final answer
   x = 3,215.72