Finding the Fourth Proportional to 10,124.46, 13,971.77 and 5,648.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.46 : 13,971.77 = 5,648.09 : x
2. Step 2: Convert to fraction form
   10,124.46/13,971.77 = 5,648.09/x
3. Step 3: Cross multiply
   10,124.46x = 13,971.77 × 5,648.09
4. Step 4: Simplify right side
   10,124.46x = 78,913,814.42
5. Step 5: Solve for x
   x = 78,913,814.42/10,124.46
6. Step 6: Final answer
   x = 7,794.37