Finding the Fourth Proportional to 10,124.34, 13,971.66 and 5,648.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.34 : 13,971.66 = 5,648.22 : x
2. Step 2: Convert to fraction form
   10,124.34/13,971.66 = 5,648.22/x
3. Step 3: Cross multiply
   10,124.34x = 13,971.66 × 5,648.22
4. Step 4: Simplify right side
   10,124.34x = 78,915,009.45
5. Step 5: Solve for x
   x = 78,915,009.45/10,124.34
6. Step 6: Final answer
   x = 7,794.58