Finding the Fourth Proportional to 10,013.64, 13,818.56 and 5,537.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.64 : 13,818.56 = 5,537.09 : x
2. Step 2: Convert to fraction form
   10,013.64/13,818.56 = 5,537.09/x
3. Step 3: Cross multiply
   10,013.64x = 13,818.56 × 5,537.09
4. Step 4: Simplify right side
   10,013.64x = 76,514,513.61
5. Step 5: Solve for x
   x = 76,514,513.61/10,013.64
6. Step 6: Final answer
   x = 7,641.03