Finding the Fourth Proportional to 5,764.81, 7,987.57 and 5,640.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,764.81 : 7,987.57 = 5,640.25 : x
2. Step 2: Convert to fraction form
   5,764.81/7,987.57 = 5,640.25/x
3. Step 3: Cross multiply
   5,764.81x = 7,987.57 × 5,640.25
4. Step 4: Simplify right side
   5,764.81x = 45,051,891.69
5. Step 5: Solve for x
   x = 45,051,891.69/5,764.81
6. Step 6: Final answer
   x = 7,814.98