Finding the Fourth Proportional to 9,825.39, 13,529.01 and 7,406.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.39 : 13,529.01 = 7,406.27 : x
2. Step 2: Convert to fraction form
   9,825.39/13,529.01 = 7,406.27/x
3. Step 3: Cross multiply
   9,825.39x = 13,529.01 × 7,406.27
4. Step 4: Simplify right side
   9,825.39x = 100,199,500.89
5. Step 5: Solve for x
   x = 100,199,500.89/9,825.39
6. Step 6: Final answer
   x = 10,198.02