Finding the Fourth Proportional to 2,612.56, 3,605.64 and 1,564.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,612.56 : 3,605.64 = 1,564.62 : x
2. Step 2: Convert to fraction form
   2,612.56/3,605.64 = 1,564.62/x
3. Step 3: Cross multiply
   2,612.56x = 3,605.64 × 1,564.62
4. Step 4: Simplify right side
   2,612.56x = 5,641,456.46
5. Step 5: Solve for x
   x = 5,641,456.46/2,612.56
6. Step 6: Final answer
   x = 2,159.36