Finding the Fourth Proportional to 10,633.50, 14,674.04 and 5,917.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,633.50 : 14,674.04 = 5,917.68 : x
2. Step 2: Convert to fraction form
   10,633.50/14,674.04 = 5,917.68/x
3. Step 3: Cross multiply
   10,633.50x = 14,674.04 × 5,917.68
4. Step 4: Simplify right side
   10,633.50x = 86,836,273.03
5. Step 5: Solve for x
   x = 86,836,273.03/10,633.50
6. Step 6: Final answer
   x = 8,166.29