Finding the Fourth Proportional to 9,801.81, 13,524.98 and 5,609.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,801.81 : 13,524.98 = 5,609.25 : x
2. Step 2: Convert to fraction form
   9,801.81/13,524.98 = 5,609.25/x
3. Step 3: Cross multiply
   9,801.81x = 13,524.98 × 5,609.25
4. Step 4: Simplify right side
   9,801.81x = 75,864,966.02
5. Step 5: Solve for x
   x = 75,864,966.02/9,801.81
6. Step 6: Final answer
   x = 7,739.89