Finding the Fourth Proportional to 9,633.52, 13,294.56 and 5,442.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.52 : 13,294.56 = 5,442.04 : x
2. Step 2: Convert to fraction form
   9,633.52/13,294.56 = 5,442.04/x
3. Step 3: Cross multiply
   9,633.52x = 13,294.56 × 5,442.04
4. Step 4: Simplify right side
   9,633.52x = 72,349,527.30
5. Step 5: Solve for x
   x = 72,349,527.30/9,633.52
6. Step 6: Final answer
   x = 7,510.19