Finding the Fourth Proportional to 1,647.77, 2,273.61 and 1,564.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,647.77 : 2,273.61 = 1,564.65 : x
2. Step 2: Convert to fraction form
   1,647.77/2,273.61 = 1,564.65/x
3. Step 3: Cross multiply
   1,647.77x = 2,273.61 × 1,564.65
4. Step 4: Simplify right side
   1,647.77x = 3,557,403.89
5. Step 5: Solve for x
   x = 3,557,403.89/1,647.77
6. Step 6: Final answer
   x = 2,158.93