Finding the Fourth Proportional to 7,705.52, 10,638.18 and 5,057.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705.52 : 10,638.18 = 5,057.56 : x
2. Step 2: Convert to fraction form
   7,705.52/10,638.18 = 5,057.56/x
3. Step 3: Cross multiply
   7,705.52x = 10,638.18 × 5,057.56
4. Step 4: Simplify right side
   7,705.52x = 53,803,233.64
5. Step 5: Solve for x
   x = 53,803,233.64/7,705.52
6. Step 6: Final answer
   x = 6,982.43