Finding the Fourth Proportional to 10,917.50, 15,066.18 and 5,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,917.50 : 15,066.18 = 5,949.50 : x
2. Step 2: Convert to fraction form
   10,917.50/15,066.18 = 5,949.50/x
3. Step 3: Cross multiply
   10,917.50x = 15,066.18 × 5,949.50
4. Step 4: Simplify right side
   10,917.50x = 89,636,237.91
5. Step 5: Solve for x
   x = 89,636,237.91/10,917.50
6. Step 6: Final answer
   x = 8,210.33