Finding the Fourth Proportional to 9,709.49, 13,400.24 and 5,460.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,709.49 : 13,400.24 = 5,460.71 : x
2. Step 2: Convert to fraction form
   9,709.49/13,400.24 = 5,460.71/x
3. Step 3: Cross multiply
   9,709.49x = 13,400.24 × 5,460.71
4. Step 4: Simplify right side
   9,709.49x = 73,174,730.27
5. Step 5: Solve for x
   x = 73,174,730.27/9,709.49
6. Step 6: Final answer
   x = 7,536.41