Finding the Fourth Proportional to 10,206.24, 14,081.52 and 5,729.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.24 : 14,081.52 = 5,729.52 : x
2. Step 2: Convert to fraction form
   10,206.24/14,081.52 = 5,729.52/x
3. Step 3: Cross multiply
   10,206.24x = 14,081.52 × 5,729.52
4. Step 4: Simplify right side
   10,206.24x = 80,680,350.47
5. Step 5: Solve for x
   x = 80,680,350.47/10,206.24
6. Step 6: Final answer
   x = 7,905.00