Finding the Fourth Proportional to 2,564.85, 3,538.23 and 2,210.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.85 : 3,538.23 = 2,210.16 : x
2. Step 2: Convert to fraction form
   2,564.85/3,538.23 = 2,210.16/x
3. Step 3: Cross multiply
   2,564.85x = 3,538.23 × 2,210.16
4. Step 4: Simplify right side
   2,564.85x = 7,820,054.42
5. Step 5: Solve for x
   x = 7,820,054.42/2,564.85
6. Step 6: Final answer
   x = 3,048.93