Finding the Fourth Proportional to 10,254.41, 14,151.09 and 5,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.41 : 14,151.09 = 5,538.69 : x
2. Step 2: Convert to fraction form
   10,254.41/14,151.09 = 5,538.69/x
3. Step 3: Cross multiply
   10,254.41x = 14,151.09 × 5,538.69
4. Step 4: Simplify right side
   10,254.41x = 78,378,498.50
5. Step 5: Solve for x
   x = 78,378,498.50/10,254.41
6. Step 6: Final answer
   x = 7,643.39