Finding the Fourth Proportional to 10,174.89, 14,041.22 and 5,698.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.89 : 14,041.22 = 5,698.61 : x
2. Step 2: Convert to fraction form
   10,174.89/14,041.22 = 5,698.61/x
3. Step 3: Cross multiply
   10,174.89x = 14,041.22 × 5,698.61
4. Step 4: Simplify right side
   10,174.89x = 80,015,338.01
5. Step 5: Solve for x
   x = 80,015,338.01/10,174.89
6. Step 6: Final answer
   x = 7,864.00