Finding the Fourth Proportional to 10,567.76, 14,584 and 5,852

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.76 : 14,584 = 5,852 : x
2. Step 2: Convert to fraction form
   10,567.76/14,584 = 5,852/x
3. Step 3: Cross multiply
   10,567.76x = 14,584 × 5,852
4. Step 4: Simplify right side
   10,567.76x = 85,345,568
5. Step 5: Solve for x
   x = 85,345,568/10,567.76
6. Step 6: Final answer
   x = 8,076.03