Finding the Fourth Proportional to 10,739.82, 16,096.51 and 5,120.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,739.82 : 16,096.51 = 5,120.45 : x
2. Step 2: Convert to fraction form
   10,739.82/16,096.51 = 5,120.45/x
3. Step 3: Cross multiply
   10,739.82x = 16,096.51 × 5,120.45
4. Step 4: Simplify right side
   10,739.82x = 82,421,374.63
5. Step 5: Solve for x
   x = 82,421,374.63/10,739.82
6. Step 6: Final answer
   x = 7,674.37