Finding the Fourth Proportional to 10,937.16, 15,096.97 and 7,584.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,937.16 : 15,096.97 = 7,584.42 : x
2. Step 2: Convert to fraction form
   10,937.16/15,096.97 = 7,584.42/x
3. Step 3: Cross multiply
   10,937.16x = 15,096.97 × 7,584.42
4. Step 4: Simplify right side
   10,937.16x = 114,501,761.21
5. Step 5: Solve for x
   x = 114,501,761.21/10,937.16
6. Step 6: Final answer
   x = 10,469.06