Finding the Fourth Proportional to 10,014.63, 13,819.95 and 5,538.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.63 : 13,819.95 = 5,538.41 : x
2. Step 2: Convert to fraction form
   10,014.63/13,819.95 = 5,538.41/x
3. Step 3: Cross multiply
   10,014.63x = 13,819.95 × 5,538.41
4. Step 4: Simplify right side
   10,014.63x = 76,540,549.28
5. Step 5: Solve for x
   x = 76,540,549.28/10,014.63
6. Step 6: Final answer
   x = 7,642.87