Finding the Fourth Proportional to 10,124.60, 13,971.40 and 5,648.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.60 : 13,971.40 = 5,648.72 : x
2. Step 2: Convert to fraction form
   10,124.60/13,971.40 = 5,648.72/x
3. Step 3: Cross multiply
   10,124.60x = 13,971.40 × 5,648.72
4. Step 4: Simplify right side
   10,124.60x = 78,920,526.61
5. Step 5: Solve for x
   x = 78,920,526.61/10,124.60
6. Step 6: Final answer
   x = 7,794.93