Finding the Fourth Proportional to 9,633.82, 13,293.48 and 5,385.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.82 : 13,293.48 = 5,385.04 : x
2. Step 2: Convert to fraction form
   9,633.82/13,293.48 = 5,385.04/x
3. Step 3: Cross multiply
   9,633.82x = 13,293.48 × 5,385.04
4. Step 4: Simplify right side
   9,633.82x = 71,585,921.54
5. Step 5: Solve for x
   x = 71,585,921.54/9,633.82
6. Step 6: Final answer
   x = 7,430.69