Finding the Fourth Proportional to 2,564.82, 3,538.19 and 1,607.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.82 : 3,538.19 = 1,607.56 : x
2. Step 2: Convert to fraction form
   2,564.82/3,538.19 = 1,607.56/x
3. Step 3: Cross multiply
   2,564.82x = 3,538.19 × 1,607.56
4. Step 4: Simplify right side
   2,564.82x = 5,687,826.99
5. Step 5: Solve for x
   x = 5,687,826.99/2,564.82
6. Step 6: Final answer
   x = 2,217.63