Finding the Fourth Proportional to 10,205.57, 14,081.90 and 5,729.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.57 : 14,081.90 = 5,729.51 : x
2. Step 2: Convert to fraction form
   10,205.57/14,081.90 = 5,729.51/x
3. Step 3: Cross multiply
   10,205.57x = 14,081.90 × 5,729.51
4. Step 4: Simplify right side
   10,205.57x = 80,682,287.81
5. Step 5: Solve for x
   x = 80,682,287.81/10,205.57
6. Step 6: Final answer
   x = 7,905.71