Finding the Fourth Proportional to 10,291.14, 14,201.79 and 5,575.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.14 : 14,201.79 = 5,575.42 : x
2. Step 2: Convert to fraction form
   10,291.14/14,201.79 = 5,575.42/x
3. Step 3: Cross multiply
   10,291.14x = 14,201.79 × 5,575.42
4. Step 4: Simplify right side
   10,291.14x = 79,180,936.56
5. Step 5: Solve for x
   x = 79,180,936.56/10,291.14
6. Step 6: Final answer
   x = 7,694.09