Finding the Fourth Proportional to 7,724.20, 10,654.86 and 5,071.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,724.20 : 10,654.86 = 5,071.72 : x
2. Step 2: Convert to fraction form
   7,724.20/10,654.86 = 5,071.72/x
3. Step 3: Cross multiply
   7,724.20x = 10,654.86 × 5,071.72
4. Step 4: Simplify right side
   7,724.20x = 54,038,466.56
5. Step 5: Solve for x
   x = 54,038,466.56/7,724.20
6. Step 6: Final answer
   x = 6,996.00