Finding the Fourth Proportional to 10,945.44, 16,406.82 and 5,097.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,945.44 : 16,406.82 = 5,097.24 : x
2. Step 2: Convert to fraction form
   10,945.44/16,406.82 = 5,097.24/x
3. Step 3: Cross multiply
   10,945.44x = 16,406.82 × 5,097.24
4. Step 4: Simplify right side
   10,945.44x = 83,629,499.18
5. Step 5: Solve for x
   x = 83,629,499.18/10,945.44
6. Step 6: Final answer
   x = 7,640.58