Finding the Fourth Proportional to 10,013.38, 13,817.97 and 5,537.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.38 : 13,817.97 = 5,537.02 : x
2. Step 2: Convert to fraction form
   10,013.38/13,817.97 = 5,537.02/x
3. Step 3: Cross multiply
   10,013.38x = 13,817.97 × 5,537.02
4. Step 4: Simplify right side
   10,013.38x = 76,510,376.25
5. Step 5: Solve for x
   x = 76,510,376.25/10,013.38
6. Step 6: Final answer
   x = 7,640.81