Finding the Fourth Proportional to 10,014.83, 13,820.41 and 5,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.83 : 13,820.41 = 5,538.50 : x
2. Step 2: Convert to fraction form
   10,014.83/13,820.41 = 5,538.50/x
3. Step 3: Cross multiply
   10,014.83x = 13,820.41 × 5,538.50
4. Step 4: Simplify right side
   10,014.83x = 76,544,340.79
5. Step 5: Solve for x
   x = 76,544,340.79/10,014.83
6. Step 6: Final answer
   x = 7,643.10