Finding the Fourth Proportional to 9,424.27, 13,004.60 and 5,646.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,424.27 : 13,004.60 = 5,646.74 : x
2. Step 2: Convert to fraction form
   9,424.27/13,004.60 = 5,646.74/x
3. Step 3: Cross multiply
   9,424.27x = 13,004.60 × 5,646.74
4. Step 4: Simplify right side
   9,424.27x = 73,433,533.51
5. Step 5: Solve for x
   x = 73,433,533.51/9,424.27
6. Step 6: Final answer
   x = 7,791.96