Finding the Fourth Proportional to 9,866.25, 13,615.83 and 5,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,866.25 : 13,615.83 = 5,674.50 : x
2. Step 2: Convert to fraction form
   9,866.25/13,615.83 = 5,674.50/x
3. Step 3: Cross multiply
   9,866.25x = 13,615.83 × 5,674.50
4. Step 4: Simplify right side
   9,866.25x = 77,263,027.34
5. Step 5: Solve for x
   x = 77,263,027.34/9,866.25
6. Step 6: Final answer
   x = 7,831.04