Finding the Fourth Proportional to 10,013.31, 13,818.30 and 5,537.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.31 : 13,818.30 = 5,537.37 : x
2. Step 2: Convert to fraction form
   10,013.31/13,818.30 = 5,537.37/x
3. Step 3: Cross multiply
   10,013.31x = 13,818.30 × 5,537.37
4. Step 4: Simplify right side
   10,013.31x = 76,517,039.87
5. Step 5: Solve for x
   x = 76,517,039.87/10,013.31
6. Step 6: Final answer
   x = 7,641.53