Finding the Fourth Proportional to 10,016, 13,820.43 and 5,538.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016 : 13,820.43 = 5,538.88 : x
2. Step 2: Convert to fraction form
   10,016/13,820.43 = 5,538.88/x
3. Step 3: Cross multiply
   10,016x = 13,820.43 × 5,538.88
4. Step 4: Simplify right side
   10,016x = 76,549,634.22
5. Step 5: Solve for x
   x = 76,549,634.22/10,016
6. Step 6: Final answer
   x = 7,642.74