Finding the Fourth Proportional to 10,013.52, 13,818.72 and 5,537.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.52 : 13,818.72 = 5,537.40 : x
2. Step 2: Convert to fraction form
   10,013.52/13,818.72 = 5,537.40/x
3. Step 3: Cross multiply
   10,013.52x = 13,818.72 × 5,537.40
4. Step 4: Simplify right side
   10,013.52x = 76,519,780.13
5. Step 5: Solve for x
   x = 76,519,780.13/10,013.52
6. Step 6: Final answer
   x = 7,641.65