Finding the Fourth Proportional to 2,564.73, 3,538.22 and 1,570.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.73 : 3,538.22 = 1,570.05 : x
2. Step 2: Convert to fraction form
   2,564.73/3,538.22 = 1,570.05/x
3. Step 3: Cross multiply
   2,564.73x = 3,538.22 × 1,570.05
4. Step 4: Simplify right side
   2,564.73x = 5,555,174.46
5. Step 5: Solve for x
   x = 5,555,174.46/2,564.73
6. Step 6: Final answer
   x = 2,165.99