Finding the Fourth Proportional to 10,663.76, 14,716.57 and 5,948.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,663.76 : 14,716.57 = 5,948.02 : x
2. Step 2: Convert to fraction form
   10,663.76/14,716.57 = 5,948.02/x
3. Step 3: Cross multiply
   10,663.76x = 14,716.57 × 5,948.02
4. Step 4: Simplify right side
   10,663.76x = 87,534,452.69
5. Step 5: Solve for x
   x = 87,534,452.69/10,663.76
6. Step 6: Final answer
   x = 8,208.59