Finding the Fourth Proportional to 10,124.16, 13,971.84 and 5,648.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.16 : 13,971.84 = 5,648.32 : x
2. Step 2: Convert to fraction form
   10,124.16/13,971.84 = 5,648.32/x
3. Step 3: Cross multiply
   10,124.16x = 13,971.84 × 5,648.32
4. Step 4: Simplify right side
   10,124.16x = 78,917,423.31
5. Step 5: Solve for x
   x = 78,917,423.31/10,124.16
6. Step 6: Final answer
   x = 7,794.96