Finding the Fourth Proportional to 2,572.82, 3,550.67 and 1,564.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,572.82 : 3,550.67 = 1,564.92 : x
2. Step 2: Convert to fraction form
   2,572.82/3,550.67 = 1,564.92/x
3. Step 3: Cross multiply
   2,572.82x = 3,550.67 × 1,564.92
4. Step 4: Simplify right side
   2,572.82x = 5,556,522.13
5. Step 5: Solve for x
   x = 5,556,522.13/2,572.82
6. Step 6: Final answer
   x = 2,159.70