Finding the Fourth Proportional to 10,124.20, 13,971.42 and 5,647.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.20 : 13,971.42 = 5,647.84 : x
2. Step 2: Convert to fraction form
   10,124.20/13,971.42 = 5,647.84/x
3. Step 3: Cross multiply
   10,124.20x = 13,971.42 × 5,647.84
4. Step 4: Simplify right side
   10,124.20x = 78,908,344.73
5. Step 5: Solve for x
   x = 78,908,344.73/10,124.20
6. Step 6: Final answer
   x = 7,794.03