Finding the Fourth Proportional to 10,917.76, 15,066.50 and 5,949.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,917.76 : 15,066.50 = 5,949.76 : x
2. Step 2: Convert to fraction form
   10,917.76/15,066.50 = 5,949.76/x
3. Step 3: Cross multiply
   10,917.76x = 15,066.50 × 5,949.76
4. Step 4: Simplify right side
   10,917.76x = 89,642,059.04
5. Step 5: Solve for x
   x = 89,642,059.04/10,917.76
6. Step 6: Final answer
   x = 8,210.66