Finding the Fourth Proportional to 3,858.09, 5,753.25 and 3,823

Step by Step Solution

1. Step 1: Write the proportion equation
   3,858.09 : 5,753.25 = 3,823 : x
2. Step 2: Convert to fraction form
   3,858.09/5,753.25 = 3,823/x
3. Step 3: Cross multiply
   3,858.09x = 5,753.25 × 3,823
4. Step 4: Simplify right side
   3,858.09x = 21,994,674.75
5. Step 5: Solve for x
   x = 21,994,674.75/3,858.09
6. Step 6: Final answer
   x = 5,700.92