Finding the Fourth Proportional to 9,689.14, 13,370.61 and 5,710.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.14 : 13,370.61 = 5,710.42 : x
2. Step 2: Convert to fraction form
   9,689.14/13,370.61 = 5,710.42/x
3. Step 3: Cross multiply
   9,689.14x = 13,370.61 × 5,710.42
4. Step 4: Simplify right side
   9,689.14x = 76,351,798.76
5. Step 5: Solve for x
   x = 76,351,798.76/9,689.14
6. Step 6: Final answer
   x = 7,880.14