Finding the Fourth Proportional to 10,724.31, 16,077.21 and 5,181.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724.31 : 16,077.21 = 5,181.54 : x
2. Step 2: Convert to fraction form
   10,724.31/16,077.21 = 5,181.54/x
3. Step 3: Cross multiply
   10,724.31x = 16,077.21 × 5,181.54
4. Step 4: Simplify right side
   10,724.31x = 83,304,706.70
5. Step 5: Solve for x
   x = 83,304,706.70/10,724.31
6. Step 6: Final answer
   x = 7,767.84