Finding the Fourth Proportional to 10,124.04, 13,971.69 and 5,647.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.04 : 13,971.69 = 5,647.83 : x
2. Step 2: Convert to fraction form
   10,124.04/13,971.69 = 5,647.83/x
3. Step 3: Cross multiply
   10,124.04x = 13,971.69 × 5,647.83
4. Step 4: Simplify right side
   10,124.04x = 78,909,677.54
5. Step 5: Solve for x
   x = 78,909,677.54/10,124.04
6. Step 6: Final answer
   x = 7,794.29