Finding the Fourth Proportional to 10,597.86, 14,625 and 5,882.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,597.86 : 14,625 = 5,882.14 : x
2. Step 2: Convert to fraction form
   10,597.86/14,625 = 5,882.14/x
3. Step 3: Cross multiply
   10,597.86x = 14,625 × 5,882.14
4. Step 4: Simplify right side
   10,597.86x = 86,026,297.50
5. Step 5: Solve for x
   x = 86,026,297.50/10,597.86
6. Step 6: Final answer
   x = 8,117.33