Finding the Fourth Proportional to 2,538, 3,501.72 and 1,654.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538 : 3,501.72 = 1,654.56 : x
2. Step 2: Convert to fraction form
   2,538/3,501.72 = 1,654.56/x
3. Step 3: Cross multiply
   2,538x = 3,501.72 × 1,654.56
4. Step 4: Simplify right side
   2,538x = 5,793,805.84
5. Step 5: Solve for x
   x = 5,793,805.84/2,538
6. Step 6: Final answer
   x = 2,282.82