Finding the Fourth Proportional to 10,597.84, 14,625.12 and 5,882.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,597.84 : 14,625.12 = 5,882.56 : x
2. Step 2: Convert to fraction form
   10,597.84/14,625.12 = 5,882.56/x
3. Step 3: Cross multiply
   10,597.84x = 14,625.12 × 5,882.56
4. Step 4: Simplify right side
   10,597.84x = 86,033,145.91
5. Step 5: Solve for x
   x = 86,033,145.91/10,597.84
6. Step 6: Final answer
   x = 8,117.99