Finding the Fourth Proportional to 9,879.48, 13,634.86 and 5,688.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,879.48 : 13,634.86 = 5,688.54 : x
2. Step 2: Convert to fraction form
   9,879.48/13,634.86 = 5,688.54/x
3. Step 3: Cross multiply
   9,879.48x = 13,634.86 × 5,688.54
4. Step 4: Simplify right side
   9,879.48x = 77,562,446.50
5. Step 5: Solve for x
   x = 77,562,446.50/9,879.48
6. Step 6: Final answer
   x = 7,850.86