Finding the Fourth Proportional to 10,013.62, 13,818.89 and 5,537.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.62 : 13,818.89 = 5,537.67 : x
2. Step 2: Convert to fraction form
   10,013.62/13,818.89 = 5,537.67/x
3. Step 3: Cross multiply
   10,013.62x = 13,818.89 × 5,537.67
4. Step 4: Simplify right side
   10,013.62x = 76,524,490.56
5. Step 5: Solve for x
   x = 76,524,490.56/10,013.62
6. Step 6: Final answer
   x = 7,642.04