Finding the Fourth Proportional to 2,759.49, 3,807.90 and 1,564.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,759.49 : 3,807.90 = 1,564.47 : x
2. Step 2: Convert to fraction form
   2,759.49/3,807.90 = 1,564.47/x
3. Step 3: Cross multiply
   2,759.49x = 3,807.90 × 1,564.47
4. Step 4: Simplify right side
   2,759.49x = 5,957,345.31
5. Step 5: Solve for x
   x = 5,957,345.31/2,759.49
6. Step 6: Final answer
   x = 2,158.86