Finding the Fourth Proportional to 10,006.76, 13,809.24 and 5,530.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006.76 : 13,809.24 = 5,530.82 : x
2. Step 2: Convert to fraction form
   10,006.76/13,809.24 = 5,530.82/x
3. Step 3: Cross multiply
   10,006.76x = 13,809.24 × 5,530.82
4. Step 4: Simplify right side
   10,006.76x = 76,376,351.73
5. Step 5: Solve for x
   x = 76,376,351.73/10,006.76
6. Step 6: Final answer
   x = 7,632.47