Finding the Fourth Proportional to 10,015.31, 13,820.59 and 5,538.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,015.31 : 13,820.59 = 5,538.80 : x
2. Step 2: Convert to fraction form
   10,015.31/13,820.59 = 5,538.80/x
3. Step 3: Cross multiply
   10,015.31x = 13,820.59 × 5,538.80
4. Step 4: Simplify right side
   10,015.31x = 76,549,504.60
5. Step 5: Solve for x
   x = 76,549,504.60/10,015.31
6. Step 6: Final answer
   x = 7,643.25