Finding the Fourth Proportional to 9,633.30, 13,288.52 and 5,653.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.30 : 13,288.52 = 5,653.65 : x
2. Step 2: Convert to fraction form
   9,633.30/13,288.52 = 5,653.65/x
3. Step 3: Cross multiply
   9,633.30x = 13,288.52 × 5,653.65
4. Step 4: Simplify right side
   9,633.30x = 75,128,630.32
5. Step 5: Solve for x
   x = 75,128,630.32/9,633.30
6. Step 6: Final answer
   x = 7,798.85