Finding the Fourth Proportional to 10,014.96, 13,820.09 and 5,538.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.96 : 13,820.09 = 5,538.45 : x
2. Step 2: Convert to fraction form
   10,014.96/13,820.09 = 5,538.45/x
3. Step 3: Cross multiply
   10,014.96x = 13,820.09 × 5,538.45
4. Step 4: Simplify right side
   10,014.96x = 76,541,877.46
5. Step 5: Solve for x
   x = 76,541,877.46/10,014.96
6. Step 6: Final answer
   x = 7,642.75