Finding the Fourth Proportional to 10,567.82, 14,584.04 and 5,852.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.82 : 14,584.04 = 5,852.09 : x
2. Step 2: Convert to fraction form
   10,567.82/14,584.04 = 5,852.09/x
3. Step 3: Cross multiply
   10,567.82x = 14,584.04 × 5,852.09
4. Step 4: Simplify right side
   10,567.82x = 85,347,012.46
5. Step 5: Solve for x
   x = 85,347,012.46/10,567.82
6. Step 6: Final answer
   x = 8,076.13