Finding the Fourth Proportional to 2,564.51, 3,538.96 and 1,569.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.51 : 3,538.96 = 1,569.79 : x
2. Step 2: Convert to fraction form
   2,564.51/3,538.96 = 1,569.79/x
3. Step 3: Cross multiply
   2,564.51x = 3,538.96 × 1,569.79
4. Step 4: Simplify right side
   2,564.51x = 5,555,411.25
5. Step 5: Solve for x
   x = 5,555,411.25/2,564.51
6. Step 6: Final answer
   x = 2,166.26