Finding the Fourth Proportional to 10,022.67, 13,815.90 and 7,500.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.67 : 13,815.90 = 7,500.96 : x
2. Step 2: Convert to fraction form
   10,022.67/13,815.90 = 7,500.96/x
3. Step 3: Cross multiply
   10,022.67x = 13,815.90 × 7,500.96
4. Step 4: Simplify right side
   10,022.67x = 103,632,513.26
5. Step 5: Solve for x
   x = 103,632,513.26/10,022.67
6. Step 6: Final answer
   x = 10,339.81