Finding the Fourth Proportional to 10,014.40, 13,819.80 and 5,538.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.40 : 13,819.80 = 5,538.16 : x
2. Step 2: Convert to fraction form
   10,014.40/13,819.80 = 5,538.16/x
3. Step 3: Cross multiply
   10,014.40x = 13,819.80 × 5,538.16
4. Step 4: Simplify right side
   10,014.40x = 76,536,263.57
5. Step 5: Solve for x
   x = 76,536,263.57/10,014.40
6. Step 6: Final answer
   x = 7,642.62