Finding the Fourth Proportional to 9,633.12, 13,293.48 and 5,384.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.12 : 13,293.48 = 5,384.16 : x
2. Step 2: Convert to fraction form
   9,633.12/13,293.48 = 5,384.16/x
3. Step 3: Cross multiply
   9,633.12x = 13,293.48 × 5,384.16
4. Step 4: Simplify right side
   9,633.12x = 71,574,223.28
5. Step 5: Solve for x
   x = 71,574,223.28/9,633.12
6. Step 6: Final answer
   x = 7,430.01