Finding the Fourth Proportional to 9,633.92, 13,294.08 and 5,442.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.92 : 13,294.08 = 5,442.56 : x
2. Step 2: Convert to fraction form
   9,633.92/13,294.08 = 5,442.56/x
3. Step 3: Cross multiply
   9,633.92x = 13,294.08 × 5,442.56
4. Step 4: Simplify right side
   9,633.92x = 72,353,828.04
5. Step 5: Solve for x
   x = 72,353,828.04/9,633.92
6. Step 6: Final answer
   x = 7,510.32