Finding the Fourth Proportional to 9,634.25, 13,296.22 and 5,655.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,634.25 : 13,296.22 = 5,655.27 : x
2. Step 2: Convert to fraction form
   9,634.25/13,296.22 = 5,655.27/x
3. Step 3: Cross multiply
   9,634.25x = 13,296.22 × 5,655.27
4. Step 4: Simplify right side
   9,634.25x = 75,193,749.80
5. Step 5: Solve for x
   x = 75,193,749.80/9,634.25
6. Step 6: Final answer
   x = 7,804.84