Finding the Fourth Proportional to 10,597.91, 14,625.78 and 5,882.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,597.91 : 14,625.78 = 5,882.27 : x
2. Step 2: Convert to fraction form
   10,597.91/14,625.78 = 5,882.27/x
3. Step 3: Cross multiply
   10,597.91x = 14,625.78 × 5,882.27
4. Step 4: Simplify right side
   10,597.91x = 86,032,786.92
5. Step 5: Solve for x
   x = 86,032,786.92/10,597.91
6. Step 6: Final answer
   x = 8,117.90