Finding the Fourth Proportional to 10,291.54, 14,202.32 and 5,575.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.54 : 14,202.32 = 5,575.82 : x
2. Step 2: Convert to fraction form
   10,291.54/14,202.32 = 5,575.82/x
3. Step 3: Cross multiply
   10,291.54x = 14,202.32 × 5,575.82
4. Step 4: Simplify right side
   10,291.54x = 79,189,579.90
5. Step 5: Solve for x
   x = 79,189,579.90/10,291.54
6. Step 6: Final answer
   x = 7,694.63