Finding the Fourth Proportional to 2,564.78, 3,538.56 and 1,556.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.78 : 3,538.56 = 1,556.12 : x
2. Step 2: Convert to fraction form
   2,564.78/3,538.56 = 1,556.12/x
3. Step 3: Cross multiply
   2,564.78x = 3,538.56 × 1,556.12
4. Step 4: Simplify right side
   2,564.78x = 5,506,423.99
5. Step 5: Solve for x
   x = 5,506,423.99/2,564.78
6. Step 6: Final answer
   x = 2,146.94