Finding the Fourth Proportional to 9,632.64, 13,290.03 and 5,653.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632.64 : 13,290.03 = 5,653.92 : x
2. Step 2: Convert to fraction form
   9,632.64/13,290.03 = 5,653.92/x
3. Step 3: Cross multiply
   9,632.64x = 13,290.03 × 5,653.92
4. Step 4: Simplify right side
   9,632.64x = 75,140,766.42
5. Step 5: Solve for x
   x = 75,140,766.42/9,632.64
6. Step 6: Final answer
   x = 7,800.64