Finding the Fourth Proportional to 10,820, 14,931.60 and 5,852

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 14,931.60 = 5,852 : x
2. Step 2: Convert to fraction form
   10,820/14,931.60 = 5,852/x
3. Step 3: Cross multiply
   10,820x = 14,931.60 × 5,852
4. Step 4: Simplify right side
   10,820x = 87,379,723.20
5. Step 5: Solve for x
   x = 87,379,723.20/10,820
6. Step 6: Final answer
   x = 8,075.76