Finding the Fourth Proportional to 10,007.84, 13,809.62 and 5,530.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.84 : 13,809.62 = 5,530.98 : x
2. Step 2: Convert to fraction form
   10,007.84/13,809.62 = 5,530.98/x
3. Step 3: Cross multiply
   10,007.84x = 13,809.62 × 5,530.98
4. Step 4: Simplify right side
   10,007.84x = 76,380,704.37
5. Step 5: Solve for x
   x = 76,380,704.37/10,007.84
6. Step 6: Final answer
   x = 7,632.09