Finding the Fourth Proportional to 10,124.56, 13,971.82 and 5,648.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.56 : 13,971.82 = 5,648.36 : x
2. Step 2: Convert to fraction form
   10,124.56/13,971.82 = 5,648.36/x
3. Step 3: Cross multiply
   10,124.56x = 13,971.82 × 5,648.36
4. Step 4: Simplify right side
   10,124.56x = 78,917,869.22
5. Step 5: Solve for x
   x = 78,917,869.22/10,124.56
6. Step 6: Final answer
   x = 7,794.70