Finding the Fourth Proportional to 9,834.21, 13,564.46 and 5,852.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.21 : 13,564.46 = 5,852.25 : x
2. Step 2: Convert to fraction form
   9,834.21/13,564.46 = 5,852.25/x
3. Step 3: Cross multiply
   9,834.21x = 13,564.46 × 5,852.25
4. Step 4: Simplify right side
   9,834.21x = 79,382,625.67
5. Step 5: Solve for x
   x = 79,382,625.67/9,834.21
6. Step 6: Final answer
   x = 8,072.09