Finding the Fourth Proportional to 10,291.82, 14,202.68 and 5,576.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.82 : 14,202.68 = 5,576.09 : x
2. Step 2: Convert to fraction form
   10,291.82/14,202.68 = 5,576.09/x
3. Step 3: Cross multiply
   10,291.82x = 14,202.68 × 5,576.09
4. Step 4: Simplify right side
   10,291.82x = 79,195,323.03
5. Step 5: Solve for x
   x = 79,195,323.03/10,291.82
6. Step 6: Final answer
   x = 7,694.98