Finding the Fourth Proportional to 2,565.02, 3,535.58 and 2,004.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.02 : 3,535.58 = 2,004.51 : x
2. Step 2: Convert to fraction form
   2,565.02/3,535.58 = 2,004.51/x
3. Step 3: Cross multiply
   2,565.02x = 3,535.58 × 2,004.51
4. Step 4: Simplify right side
   2,565.02x = 7,087,095.44
5. Step 5: Solve for x
   x = 7,087,095.44/2,565.02
6. Step 6: Final answer
   x = 2,762.98