Finding the Fourth Proportional to 10,009.05, 13,823.10 and 7,614.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.05 : 13,823.10 = 7,614.29 : x
2. Step 2: Convert to fraction form
   10,009.05/13,823.10 = 7,614.29/x
3. Step 3: Cross multiply
   10,009.05x = 13,823.10 × 7,614.29
4. Step 4: Simplify right side
   10,009.05x = 105,253,092.10
5. Step 5: Solve for x
   x = 105,253,092.10/10,009.05
6. Step 6: Final answer
   x = 10,515.79