Finding the Fourth Proportional to 9,678.96, 13,357.80 and 5,488.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.96 : 13,357.80 = 5,488.56 : x
2. Step 2: Convert to fraction form
   9,678.96/13,357.80 = 5,488.56/x
3. Step 3: Cross multiply
   9,678.96x = 13,357.80 × 5,488.56
4. Step 4: Simplify right side
   9,678.96x = 73,315,086.77
5. Step 5: Solve for x
   x = 73,315,086.77/9,678.96
6. Step 6: Final answer
   x = 7,574.69