Finding the Fourth Proportional to 10,172.16, 14,035.68 and 5,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.16 : 14,035.68 = 5,978.88 : x
2. Step 2: Convert to fraction form
   10,172.16/14,035.68 = 5,978.88/x
3. Step 3: Cross multiply
   10,172.16x = 14,035.68 × 5,978.88
4. Step 4: Simplify right side
   10,172.16x = 83,917,646.44
5. Step 5: Solve for x
   x = 83,917,646.44/10,172.16
6. Step 6: Final answer
   x = 8,249.74