Finding the Fourth Proportional to 10,174.05, 14,039.86 and 5,636.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.05 : 14,039.86 = 5,636.54 : x
2. Step 2: Convert to fraction form
   10,174.05/14,039.86 = 5,636.54/x
3. Step 3: Cross multiply
   10,174.05x = 14,039.86 × 5,636.54
4. Step 4: Simplify right side
   10,174.05x = 79,136,267.58
5. Step 5: Solve for x
   x = 79,136,267.58/10,174.05
6. Step 6: Final answer
   x = 7,778.25