Finding the Fourth Proportional to 10,291.50, 14,202.27 and 5,575.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.50 : 14,202.27 = 5,575.82 : x
2. Step 2: Convert to fraction form
   10,291.50/14,202.27 = 5,575.82/x
3. Step 3: Cross multiply
   10,291.50x = 14,202.27 × 5,575.82
4. Step 4: Simplify right side
   10,291.50x = 79,189,230.10
5. Step 5: Solve for x
   x = 79,189,230.10/10,291.50
6. Step 6: Final answer
   x = 7,694.62