Finding the Fourth Proportional to 9,632.82, 13,292.10 and 5,384.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632.82 : 13,292.10 = 5,384.04 : x
2. Step 2: Convert to fraction form
   9,632.82/13,292.10 = 5,384.04/x
3. Step 3: Cross multiply
   9,632.82x = 13,292.10 × 5,384.04
4. Step 4: Simplify right side
   9,632.82x = 71,565,260.39
5. Step 5: Solve for x
   x = 71,565,260.39/9,632.82
6. Step 6: Final answer
   x = 7,429.31