Finding the Fourth Proportional to 2,564.72, 3,534.60 and 2,004.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.72 : 3,534.60 = 2,004.32 : x
2. Step 2: Convert to fraction form
   2,564.72/3,534.60 = 2,004.32/x
3. Step 3: Cross multiply
   2,564.72x = 3,534.60 × 2,004.32
4. Step 4: Simplify right side
   2,564.72x = 7,084,469.47
5. Step 5: Solve for x
   x = 7,084,469.47/2,564.72
6. Step 6: Final answer
   x = 2,762.28