Finding the Fourth Proportional to 10,757.76, 16,129.56 and 5,200.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,757.76 : 16,129.56 = 5,200.08 : x
2. Step 2: Convert to fraction form
   10,757.76/16,129.56 = 5,200.08/x
3. Step 3: Cross multiply
   10,757.76x = 16,129.56 × 5,200.08
4. Step 4: Simplify right side
   10,757.76x = 83,875,002.36
5. Step 5: Solve for x
   x = 83,875,002.36/10,757.76
6. Step 6: Final answer
   x = 7,796.70