Finding the Fourth Proportional to 10,013.46, 13,817.90 and 5,536.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.46 : 13,817.90 = 5,536.62 : x
2. Step 2: Convert to fraction form
   10,013.46/13,817.90 = 5,536.62/x
3. Step 3: Cross multiply
   10,013.46x = 13,817.90 × 5,536.62
4. Step 4: Simplify right side
   10,013.46x = 76,504,461.50
5. Step 5: Solve for x
   x = 76,504,461.50/10,013.46
6. Step 6: Final answer
   x = 7,640.16