Finding the Fourth Proportional to 10,174.80, 14,039.52 and 5,926.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.80 : 14,039.52 = 5,926.56 : x
2. Step 2: Convert to fraction form
   10,174.80/14,039.52 = 5,926.56/x
3. Step 3: Cross multiply
   10,174.80x = 14,039.52 × 5,926.56
4. Step 4: Simplify right side
   10,174.80x = 83,206,057.65
5. Step 5: Solve for x
   x = 83,206,057.65/10,174.80
6. Step 6: Final answer
   x = 8,177.66