Finding the Fourth Proportional to 10,597.48, 14,624.17 and 5,882.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,597.48 : 14,624.17 = 5,882.11 : x
2. Step 2: Convert to fraction form
   10,597.48/14,624.17 = 5,882.11/x
3. Step 3: Cross multiply
   10,597.48x = 14,624.17 × 5,882.11
4. Step 4: Simplify right side
   10,597.48x = 86,020,976.60
5. Step 5: Solve for x
   x = 86,020,976.60/10,597.48
6. Step 6: Final answer
   x = 8,117.12