Finding the Fourth Proportional to 10,569, 14,584.64 and 5,852.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569 : 14,584.64 = 5,852.91 : x
2. Step 2: Convert to fraction form
   10,569/14,584.64 = 5,852.91/x
3. Step 3: Cross multiply
   10,569x = 14,584.64 × 5,852.91
4. Step 4: Simplify right side
   10,569x = 85,362,556.04
5. Step 5: Solve for x
   x = 85,362,556.04/10,569
6. Step 6: Final answer
   x = 8,076.69