Finding the Fourth Proportional to 9,633.50, 13,295.31 and 5,442.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.50 : 13,295.31 = 5,442.02 : x
2. Step 2: Convert to fraction form
   9,633.50/13,295.31 = 5,442.02/x
3. Step 3: Cross multiply
   9,633.50x = 13,295.31 × 5,442.02
4. Step 4: Simplify right side
   9,633.50x = 72,353,342.93
5. Step 5: Solve for x
   x = 72,353,342.93/9,633.50
6. Step 6: Final answer
   x = 7,510.60