Finding the Fourth Proportional to 10,124.21, 13,970.76 and 5,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.21 : 13,970.76 = 5,648.25 : x
2. Step 2: Convert to fraction form
   10,124.21/13,970.76 = 5,648.25/x
3. Step 3: Cross multiply
   10,124.21x = 13,970.76 × 5,648.25
4. Step 4: Simplify right side
   10,124.21x = 78,910,345.17
5. Step 5: Solve for x
   x = 78,910,345.17/10,124.21
6. Step 6: Final answer
   x = 7,794.23