Finding the Fourth Proportional to 2,509.25, 3,760.38 and 2,075.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.25 : 3,760.38 = 2,075.72 : x
2. Step 2: Convert to fraction form
   2,509.25/3,760.38 = 2,075.72/x
3. Step 3: Cross multiply
   2,509.25x = 3,760.38 × 2,075.72
4. Step 4: Simplify right side
   2,509.25x = 7,805,477.17
5. Step 5: Solve for x
   x = 7,805,477.17/2,509.25
6. Step 6: Final answer
   x = 3,110.69