Finding the Fourth Proportional to 10,174.72, 14,042.64 and 5,927.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.72 : 14,042.64 = 5,927.20 : x
2. Step 2: Convert to fraction form
   10,174.72/14,042.64 = 5,927.20/x
3. Step 3: Cross multiply
   10,174.72x = 14,042.64 × 5,927.20
4. Step 4: Simplify right side
   10,174.72x = 83,233,535.81
5. Step 5: Solve for x
   x = 83,233,535.81/10,174.72
6. Step 6: Final answer
   x = 8,180.43