Finding the Fourth Proportional to 9,101.64, 12,556.42 and 5,743.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101.64 : 12,556.42 = 5,743.24 : x
2. Step 2: Convert to fraction form
   9,101.64/12,556.42 = 5,743.24/x
3. Step 3: Cross multiply
   9,101.64x = 12,556.42 × 5,743.24
4. Step 4: Simplify right side
   9,101.64x = 72,114,533.60
5. Step 5: Solve for x
   x = 72,114,533.60/9,101.64
6. Step 6: Final answer
   x = 7,923.25