Finding the Fourth Proportional to 10,166.72, 14,028.38 and 5,975.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.72 : 14,028.38 = 5,975.78 : x
2. Step 2: Convert to fraction form
   10,166.72/14,028.38 = 5,975.78/x
3. Step 3: Cross multiply
   10,166.72x = 14,028.38 × 5,975.78
4. Step 4: Simplify right side
   10,166.72x = 83,830,512.64
5. Step 5: Solve for x
   x = 83,830,512.64/10,166.72
6. Step 6: Final answer
   x = 8,245.58