Finding the Fourth Proportional to 5,758.09, 8,640.47 and 3,786.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,758.09 : 8,640.47 = 3,786.14 : x
2. Step 2: Convert to fraction form
   5,758.09/8,640.47 = 3,786.14/x
3. Step 3: Cross multiply
   5,758.09x = 8,640.47 × 3,786.14
4. Step 4: Simplify right side
   5,758.09x = 32,714,060.15
5. Step 5: Solve for x
   x = 32,714,060.15/5,758.09
6. Step 6: Final answer
   x = 5,681.41