Finding the Fourth Proportional to 7,744.68, 10,689.36 and 5,092.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744.68 : 10,689.36 = 5,092.34 : x
2. Step 2: Convert to fraction form
   7,744.68/10,689.36 = 5,092.34/x
3. Step 3: Cross multiply
   7,744.68x = 10,689.36 × 5,092.34
4. Step 4: Simplify right side
   7,744.68x = 54,433,855.50
5. Step 5: Solve for x
   x = 54,433,855.50/7,744.68
6. Step 6: Final answer
   x = 7,028.55