Finding the Fourth Proportional to 10,724.51, 16,090.10 and 5,176.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724.51 : 16,090.10 = 5,176.89 : x
2. Step 2: Convert to fraction form
   10,724.51/16,090.10 = 5,176.89/x
3. Step 3: Cross multiply
   10,724.51x = 16,090.10 × 5,176.89
4. Step 4: Simplify right side
   10,724.51x = 83,296,597.34
5. Step 5: Solve for x
   x = 83,296,597.34/10,724.51
6. Step 6: Final answer
   x = 7,766.94