Finding the Fourth Proportional to 7,705.43, 10,638.71 and 5,057.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705.43 : 10,638.71 = 5,057.34 : x
2. Step 2: Convert to fraction form
   7,705.43/10,638.71 = 5,057.34/x
3. Step 3: Cross multiply
   7,705.43x = 10,638.71 × 5,057.34
4. Step 4: Simplify right side
   7,705.43x = 53,803,527.41
5. Step 5: Solve for x
   x = 53,803,527.41/7,705.43
6. Step 6: Final answer
   x = 6,982.55