Finding the Fourth Proportional to 10,124.84, 13,972.50 and 5,648.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.84 : 13,972.50 = 5,648.96 : x
2. Step 2: Convert to fraction form
   10,124.84/13,972.50 = 5,648.96/x
3. Step 3: Cross multiply
   10,124.84x = 13,972.50 × 5,648.96
4. Step 4: Simplify right side
   10,124.84x = 78,930,093.60
5. Step 5: Solve for x
   x = 78,930,093.60/10,124.84
6. Step 6: Final answer
   x = 7,795.69