Finding the Fourth Proportional to 10,013.40, 13,817.94 and 5,536.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.40 : 13,817.94 = 5,536.89 : x
2. Step 2: Convert to fraction form
   10,013.40/13,817.94 = 5,536.89/x
3. Step 3: Cross multiply
   10,013.40x = 13,817.94 × 5,536.89
4. Step 4: Simplify right side
   10,013.40x = 76,508,330.87
5. Step 5: Solve for x
   x = 76,508,330.87/10,013.40
6. Step 6: Final answer
   x = 7,640.59