Finding the Fourth Proportional to 9,653.58, 13,321.67 and 5,674.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.58 : 13,321.67 = 5,674.46 : x
2. Step 2: Convert to fraction form
   9,653.58/13,321.67 = 5,674.46/x
3. Step 3: Cross multiply
   9,653.58x = 13,321.67 × 5,674.46
4. Step 4: Simplify right side
   9,653.58x = 75,593,188.57
5. Step 5: Solve for x
   x = 75,593,188.57/9,653.58
6. Step 6: Final answer
   x = 7,830.59