Finding the Fourth Proportional to 10,208.26, 14,086.30 and 5,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,208.26 : 14,086.30 = 5,732.50 : x
2. Step 2: Convert to fraction form
   10,208.26/14,086.30 = 5,732.50/x
3. Step 3: Cross multiply
   10,208.26x = 14,086.30 × 5,732.50
4. Step 4: Simplify right side
   10,208.26x = 80,749,714.75
5. Step 5: Solve for x
   x = 80,749,714.75/10,208.26
6. Step 6: Final answer
   x = 7,910.23