Finding the Fourth Proportional to 10,007.05, 13,802.57 and 7,645.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.05 : 13,802.57 = 7,645.09 : x
2. Step 2: Convert to fraction form
   10,007.05/13,802.57 = 7,645.09/x
3. Step 3: Cross multiply
   10,007.05x = 13,802.57 × 7,645.09
4. Step 4: Simplify right side
   10,007.05x = 105,521,839.98
5. Step 5: Solve for x
   x = 105,521,839.98/10,007.05
6. Step 6: Final answer
   x = 10,544.76