Finding the Fourth Proportional to 9,633.90, 13,294.96 and 5,442.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.90 : 13,294.96 = 5,442.14 : x
2. Step 2: Convert to fraction form
   9,633.90/13,294.96 = 5,442.14/x
3. Step 3: Cross multiply
   9,633.90x = 13,294.96 × 5,442.14
4. Step 4: Simplify right side
   9,633.90x = 72,353,033.61
5. Step 5: Solve for x
   x = 72,353,033.61/9,633.90
6. Step 6: Final answer
   x = 7,510.25