Finding the Fourth Proportional to 10,014.40, 13,819.32 and 5,537.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.40 : 13,819.32 = 5,537.86 : x
2. Step 2: Convert to fraction form
   10,014.40/13,819.32 = 5,537.86/x
3. Step 3: Cross multiply
   10,014.40x = 13,819.32 × 5,537.86
4. Step 4: Simplify right side
   10,014.40x = 76,529,424.91
5. Step 5: Solve for x
   x = 76,529,424.91/10,014.40
6. Step 6: Final answer
   x = 7,641.94