Finding the Fourth Proportional to 10,014.26, 13,819.06 and 5,537.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.26 : 13,819.06 = 5,537.75 : x
2. Step 2: Convert to fraction form
   10,014.26/13,819.06 = 5,537.75/x
3. Step 3: Cross multiply
   10,014.26x = 13,819.06 × 5,537.75
4. Step 4: Simplify right side
   10,014.26x = 76,526,499.52
5. Step 5: Solve for x
   x = 76,526,499.52/10,014.26
6. Step 6: Final answer
   x = 7,641.75