Finding the Fourth Proportional to 7,678.74, 10,589.34 and 7,112.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678.74 : 10,589.34 = 7,112.82 : x
2. Step 2: Convert to fraction form
   7,678.74/10,589.34 = 7,112.82/x
3. Step 3: Cross multiply
   7,678.74x = 10,589.34 × 7,112.82
4. Step 4: Simplify right side
   7,678.74x = 75,320,069.34
5. Step 5: Solve for x
   x = 75,320,069.34/7,678.74
6. Step 6: Final answer
   x = 9,808.91