Finding the Fourth Proportional to 7,674.43, 10,594.24 and 5,786.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,674.43 : 10,594.24 = 5,786.78 : x
2. Step 2: Convert to fraction form
   7,674.43/10,594.24 = 5,786.78/x
3. Step 3: Cross multiply
   7,674.43x = 10,594.24 × 5,786.78
4. Step 4: Simplify right side
   7,674.43x = 61,306,501.26
5. Step 5: Solve for x
   x = 61,306,501.26/7,674.43
6. Step 6: Final answer
   x = 7,988.41