Finding the Fourth Proportional to 3,827.44, 5,713.61 and 3,565

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.44 : 5,713.61 = 3,565 : x
2. Step 2: Convert to fraction form
   3,827.44/5,713.61 = 3,565/x
3. Step 3: Cross multiply
   3,827.44x = 5,713.61 × 3,565
4. Step 4: Simplify right side
   3,827.44x = 20,369,019.65
5. Step 5: Solve for x
   x = 20,369,019.65/3,827.44
6. Step 6: Final answer
   x = 5,321.84