Finding the Fourth Proportional to 9,678.44, 13,357.04 and 5,429.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.44 : 13,357.04 = 5,429.42 : x
2. Step 2: Convert to fraction form
   9,678.44/13,357.04 = 5,429.42/x
3. Step 3: Cross multiply
   9,678.44x = 13,357.04 × 5,429.42
4. Step 4: Simplify right side
   9,678.44x = 72,520,980.12
5. Step 5: Solve for x
   x = 72,520,980.12/9,678.44
6. Step 6: Final answer
   x = 7,493.04