Finding the Fourth Proportional to 10,072.98, 13,900.14 and 5,824.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.98 : 13,900.14 = 5,824.22 : x
2. Step 2: Convert to fraction form
   10,072.98/13,900.14 = 5,824.22/x
3. Step 3: Cross multiply
   10,072.98x = 13,900.14 × 5,824.22
4. Step 4: Simplify right side
   10,072.98x = 80,957,473.39
5. Step 5: Solve for x
   x = 80,957,473.39/10,072.98
6. Step 6: Final answer
   x = 8,037.09