Finding the Fourth Proportional to 2,564.06, 3,538.75 and 1,556.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.06 : 3,538.75 = 1,556.17 : x
2. Step 2: Convert to fraction form
   2,564.06/3,538.75 = 1,556.17/x
3. Step 3: Cross multiply
   2,564.06x = 3,538.75 × 1,556.17
4. Step 4: Simplify right side
   2,564.06x = 5,506,883.85
5. Step 5: Solve for x
   x = 5,506,883.85/2,564.06
6. Step 6: Final answer
   x = 2,147.72