Finding the Fourth Proportional to 9,633.89, 13,295.39 and 5,653.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.89 : 13,295.39 = 5,653.55 : x
2. Step 2: Convert to fraction form
   9,633.89/13,295.39 = 5,653.55/x
3. Step 3: Cross multiply
   9,633.89x = 13,295.39 × 5,653.55
4. Step 4: Simplify right side
   9,633.89x = 75,166,123.87
5. Step 5: Solve for x
   x = 75,166,123.87/9,633.89
6. Step 6: Final answer
   x = 7,802.26