Finding the Fourth Proportional to 10,013.48, 13,818.35 and 5,537.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.48 : 13,818.35 = 5,537.12 : x
2. Step 2: Convert to fraction form
   10,013.48/13,818.35 = 5,537.12/x
3. Step 3: Cross multiply
   10,013.48x = 13,818.35 × 5,537.12
4. Step 4: Simplify right side
   10,013.48x = 76,513,765.37
5. Step 5: Solve for x
   x = 76,513,765.37/10,013.48
6. Step 6: Final answer
   x = 7,641.08