Finding the Fourth Proportional to 10,362.52, 15,536.49 and 5,164.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.52 : 15,536.49 = 5,164.75 : x
2. Step 2: Convert to fraction form
   10,362.52/15,536.49 = 5,164.75/x
3. Step 3: Cross multiply
   10,362.52x = 15,536.49 × 5,164.75
4. Step 4: Simplify right side
   10,362.52x = 80,242,086.73
5. Step 5: Solve for x
   x = 80,242,086.73/10,362.52
6. Step 6: Final answer
   x = 7,743.49