Finding the Fourth Proportional to 10,174.50, 14,041.06 and 5,699.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.50 : 14,041.06 = 5,699.16 : x
2. Step 2: Convert to fraction form
   10,174.50/14,041.06 = 5,699.16/x
3. Step 3: Cross multiply
   10,174.50x = 14,041.06 × 5,699.16
4. Step 4: Simplify right side
   10,174.50x = 80,022,247.51
5. Step 5: Solve for x
   x = 80,022,247.51/10,174.50
6. Step 6: Final answer
   x = 7,864.98