Finding the Fourth Proportional to 10,013.47, 13,817.85 and 5,537.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.47 : 13,817.85 = 5,537.28 : x
2. Step 2: Convert to fraction form
   10,013.47/13,817.85 = 5,537.28/x
3. Step 3: Cross multiply
   10,013.47x = 13,817.85 × 5,537.28
4. Step 4: Simplify right side
   10,013.47x = 76,513,304.45
5. Step 5: Solve for x
   x = 76,513,304.45/10,013.47
6. Step 6: Final answer
   x = 7,641.04