Finding the Fourth Proportional to 10,014.72, 13,820.16 and 5,538.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.72 : 13,820.16 = 5,538.12 : x
2. Step 2: Convert to fraction form
   10,014.72/13,820.16 = 5,538.12/x
3. Step 3: Cross multiply
   10,014.72x = 13,820.16 × 5,538.12
4. Step 4: Simplify right side
   10,014.72x = 76,537,704.50
5. Step 5: Solve for x
   x = 76,537,704.50/10,014.72
6. Step 6: Final answer
   x = 7,642.52