Finding the Fourth Proportional to 10,124.86, 13,972.31 and 5,648.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.86 : 13,972.31 = 5,648.61 : x
2. Step 2: Convert to fraction form
   10,124.86/13,972.31 = 5,648.61/x
3. Step 3: Cross multiply
   10,124.86x = 13,972.31 × 5,648.61
4. Step 4: Simplify right side
   10,124.86x = 78,924,110.81
5. Step 5: Solve for x
   x = 78,924,110.81/10,124.86
6. Step 6: Final answer
   x = 7,795.08