Finding the Fourth Proportional to 10,174.86, 14,042.20 and 5,698.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.86 : 14,042.20 = 5,698.54 : x
2. Step 2: Convert to fraction form
   10,174.86/14,042.20 = 5,698.54/x
3. Step 3: Cross multiply
   10,174.86x = 14,042.20 × 5,698.54
4. Step 4: Simplify right side
   10,174.86x = 80,020,038.39
5. Step 5: Solve for x
   x = 80,020,038.39/10,174.86
6. Step 6: Final answer
   x = 7,864.49