Finding the Fourth Proportional to 2,564.76, 3,539.42 and 1,556.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.76 : 3,539.42 = 1,556.49 : x
2. Step 2: Convert to fraction form
   2,564.76/3,539.42 = 1,556.49/x
3. Step 3: Cross multiply
   2,564.76x = 3,539.42 × 1,556.49
4. Step 4: Simplify right side
   2,564.76x = 5,509,077.59
5. Step 5: Solve for x
   x = 5,509,077.59/2,564.76
6. Step 6: Final answer
   x = 2,147.99