Finding the Fourth Proportional to 9,633.57, 13,288.94 and 5,653.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.57 : 13,288.94 = 5,653.91 : x
2. Step 2: Convert to fraction form
   9,633.57/13,288.94 = 5,653.91/x
3. Step 3: Cross multiply
   9,633.57x = 13,288.94 × 5,653.91
4. Step 4: Simplify right side
   9,633.57x = 75,134,376.04
5. Step 5: Solve for x
   x = 75,134,376.04/9,633.57
6. Step 6: Final answer
   x = 7,799.22